Pub Date : 2022-11-30DOI: 10.22342/jims.28.3.1232.316-322
H. Baanoon, Wasan Khalid
The novel ideas in module M over a ring R are introduced in this study. The first one, a generalization of the e∗-lifting module, is known as e∗-hollow-lifting. The second idea, an inference of e∗-lifting, is known as a cofinite e∗-lifting module. We shall demonstrate some of these ideas’ properties
{"title":"e*-Hollow-Lifting and Cofinitely e*-Lifting Modules","authors":"H. Baanoon, Wasan Khalid","doi":"10.22342/jims.28.3.1232.316-322","DOIUrl":"https://doi.org/10.22342/jims.28.3.1232.316-322","url":null,"abstract":"The novel ideas in module M over a ring R are introduced in this study. The first one, a generalization of the e∗-lifting module, is known as e∗-hollow-lifting. The second idea, an inference of e∗-lifting, is known as a cofinite e∗-lifting module. We shall demonstrate some of these ideas’ properties","PeriodicalId":42206,"journal":{"name":"Journal of the Indonesian Mathematical Society","volume":" ","pages":""},"PeriodicalIF":0.3,"publicationDate":"2022-11-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43022032","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-11-30DOI: 10.22342/jims.28.3.1102.251-258
S. Vaidya, H. Vadhel
A dominating set $D subseteq V(G)$ is said to be a congruent dominating set of $G$ if $$sum_{v in V(G)} d(v) equiv 0 left( bmod;sum_{v in D} d(v)right).$$The minimum cardinality of a minimal congruent dominating set of $G$ is called the congruent domination number of $G$ which is denoted by $gamma_{cd}(G)$. We establish the bounds on congruent domination number in terms of order of disjoint union of graphs as well as one point union of graphs.
如果$$sum_{v in V(G)} d(v) equiv 0 left( bmod;sum_{v in D} d(v)right).$$，则称支配集$D subseteq V(G)$为$G$的同余支配集。$G$的最小同余支配集的最小基数称为$G$的同余支配数，用$gamma_{cd}(G)$表示。从图的不相交并的阶和图的一点并的角度，建立了图的同余支配数的界。
{"title":"On Congruent Domination Number of Disjoint and One Point Union of Graphs","authors":"S. Vaidya, H. Vadhel","doi":"10.22342/jims.28.3.1102.251-258","DOIUrl":"https://doi.org/10.22342/jims.28.3.1102.251-258","url":null,"abstract":"A dominating set $D subseteq V(G)$ is said to be a congruent dominating set of $G$ if $$sum_{v in V(G)} d(v) equiv 0 left( bmod;sum_{v in D} d(v)right).$$The minimum cardinality of a minimal congruent dominating set of $G$ is called the congruent domination number of $G$ which is denoted by $gamma_{cd}(G)$. We establish the bounds on congruent domination number in terms of order of disjoint union of graphs as well as one point union of graphs.","PeriodicalId":42206,"journal":{"name":"Journal of the Indonesian Mathematical Society","volume":"21 21","pages":""},"PeriodicalIF":0.3,"publicationDate":"2022-11-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41268769","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-11-30DOI: 10.22342/jims.28.3.1179.304-315
Jyotsana Majumdar, K. Prasad
In this paper, we establish some common fixed point theorems for two pairs of self-mappings by using the notion of occasionally weakly compatible/common property (E.A) using an inequality involving quadratic terms in Menger PM-space and these results are partially extend the some known results in the literature.
{"title":"Quadratic Inequality for Obtaining Fixed Point Using Property (E.A) in Menger Spaces","authors":"Jyotsana Majumdar, K. Prasad","doi":"10.22342/jims.28.3.1179.304-315","DOIUrl":"https://doi.org/10.22342/jims.28.3.1179.304-315","url":null,"abstract":"In this paper, we establish some common fixed point theorems for two pairs of self-mappings by using the notion of occasionally weakly compatible/common property (E.A) using an inequality involving quadratic terms in Menger PM-space and these results are partially extend the some known results in the literature.","PeriodicalId":42206,"journal":{"name":"Journal of the Indonesian Mathematical Society","volume":" ","pages":""},"PeriodicalIF":0.3,"publicationDate":"2022-11-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42800429","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-11-29DOI: 10.22342/jims.28.3.1007.263-275
Jyoti Sachin Macha, Sumedha Narayan Shinde
This paper defines and computes the degree square subtraction matrix, its characteristic polynomial and spectra in terms of the first Zagreb Index. We explore its bounds for spectral radius and energy.
{"title":"Degree Square Subtraction Spectra and Energy","authors":"Jyoti Sachin Macha, Sumedha Narayan Shinde","doi":"10.22342/jims.28.3.1007.263-275","DOIUrl":"https://doi.org/10.22342/jims.28.3.1007.263-275","url":null,"abstract":"This paper defines and computes the degree square subtraction matrix, its characteristic polynomial and spectra in terms of the first Zagreb Index. We explore its bounds for spectral radius and energy.","PeriodicalId":42206,"journal":{"name":"Journal of the Indonesian Mathematical Society","volume":" ","pages":""},"PeriodicalIF":0.3,"publicationDate":"2022-11-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45499603","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-11-28DOI: 10.22342/jims.28.3.1213.251-262
L. Oukhtite, M. A. Idrissi, Karim Bouchannafa
The principal aim of this paper is to investigate certain central valued identities on a factor ring with respect to a prime ideal P of a ring R, involving some specific mappings of R. Furthermore, examples are given to show that the restrictions imposed in the hypotheses of our theorems are not superfluous.
{"title":"Certain Commutativity Theorems for Some Quotient Rings","authors":"L. Oukhtite, M. A. Idrissi, Karim Bouchannafa","doi":"10.22342/jims.28.3.1213.251-262","DOIUrl":"https://doi.org/10.22342/jims.28.3.1213.251-262","url":null,"abstract":"The principal aim of this paper is to investigate certain central valued identities on a factor ring with respect to a prime ideal P of a ring R, involving some specific mappings of R. Furthermore, examples are given to show that the restrictions imposed in the hypotheses of our theorems are not superfluous.","PeriodicalId":42206,"journal":{"name":"Journal of the Indonesian Mathematical Society","volume":" ","pages":""},"PeriodicalIF":0.3,"publicationDate":"2022-11-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47006526","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-11-28DOI: 10.22342/jims.28.3.1204.221-241
P. Kandan, S. Subramanian, P. Rajesh
A large number of medical experiments have confirmed that the features of drugs have a close correlation with their molecular structure. Drug properties can be obtained by studying the molecular structure of corresponding drugs. The calculation of the topological index of a chemical graph enables scientists to have a better understanding of the physical chemistry and biological characteristics of drugs. In this paper, we focus on Hyaluronic Acid-Curcumin/Paclitaxel conjugate which are widely used in the manufacture of anticancer drugs. Therefore in this paper we have computed the Padmakar-Ivan related indices and its polynomial of the Hyaluronic Acid-curcumin/paclitaxel conjugate by using edge partitioning technique.
{"title":"Calculating PI Related Indices and Its Polynomial of Hyaluronic Acid and Conjugates","authors":"P. Kandan, S. Subramanian, P. Rajesh","doi":"10.22342/jims.28.3.1204.221-241","DOIUrl":"https://doi.org/10.22342/jims.28.3.1204.221-241","url":null,"abstract":"A large number of medical experiments have confirmed that the features of drugs have a close correlation with their molecular structure. Drug properties can be obtained by studying the molecular structure of corresponding drugs. The calculation of the topological index of a chemical graph enables scientists to have a better understanding of the physical chemistry and biological characteristics of drugs. In this paper, we focus on Hyaluronic Acid-Curcumin/Paclitaxel conjugate which are widely used in the manufacture of anticancer drugs. Therefore in this paper we have computed the Padmakar-Ivan related indices and its polynomial of the Hyaluronic Acid-curcumin/paclitaxel conjugate by using edge partitioning technique.","PeriodicalId":42206,"journal":{"name":"Journal of the Indonesian Mathematical Society","volume":" ","pages":""},"PeriodicalIF":0.3,"publicationDate":"2022-11-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42385129","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-07-31DOI: 10.22342/jims.28.2.1066.215-220
N. P. Puspita, I. E. Wijayanti, B. Surodjo
Let R be a commutative ring with multiplicative identity and C be a coassociative and counital R-coalgebra with the α-condition. A clean comodules defined based on the cleanness on rings and modules. A C-comodule M is a clean comodule if the endomorphism ring of C-comodule M is clean. A clean R-coalgebra C is a clean comodule over itself i.e., if the endomorphism ring of C as a C-comodule is clean. For an idempotent e ∈ R, there are relations between the cleanness of eRe and R. It’s motivated us to investigate this condition for coalgebra. For any C, we can construct the R-coalgebra e ⇀C↼e where e is an idempotent element of dual algebra of C. Here, we show that the clean conditions of C implies the clean property of e ⇀C↼ e and vice versa.
{"title":"The Necessary and Sufficient Condition of Clean R-Coalgebra e⇀C↼e","authors":"N. P. Puspita, I. E. Wijayanti, B. Surodjo","doi":"10.22342/jims.28.2.1066.215-220","DOIUrl":"https://doi.org/10.22342/jims.28.2.1066.215-220","url":null,"abstract":"Let R be a commutative ring with multiplicative identity and C be a coassociative and counital R-coalgebra with the α-condition. A clean comodules defined based on the cleanness on rings and modules. A C-comodule M is a clean comodule if the endomorphism ring of C-comodule M is clean. A clean R-coalgebra C is a clean comodule over itself i.e., if the endomorphism ring of C as a C-comodule is clean. For an idempotent e ∈ R, there are relations between the cleanness of eRe and R. It’s motivated us to investigate this condition for coalgebra. For any C, we can construct the R-coalgebra e ⇀C↼e where e is an idempotent element of dual algebra of C. Here, we show that the clean conditions of C implies the clean property of e ⇀C↼ e and vice versa.","PeriodicalId":42206,"journal":{"name":"Journal of the Indonesian Mathematical Society","volume":" ","pages":""},"PeriodicalIF":0.3,"publicationDate":"2022-07-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42471920","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-07-31DOI: 10.22342/jims.28.2.1204.194-214
P.KANDAN, S Subramanian, P. Rajesh
A large number of medical experiments have confirmed that the features of drugs have a close correlation with their molecular structure. Drug properties can be obtained by studying the molecular structure of corresponding drugs. The calculation of the topological index of a chemical graph enables scientists to have a better understanding of the physical chemistry and biological characteristics of drugs. In this paper, we focus on Hyaluronic Acid-Curcumin/Paclitaxel conjugate which are widely used in the manufacture of anticancer drugs. Therefore in this paper we have computed the Padmakar-Ivan related indices and its polynomial of the Hyaluronic Acid-curcumin/paclitaxel conjugate by using edge partitioning technique.
{"title":"Calculating PI Related Indices and Its Polynomial of Hyaluronic Acid and Conjugates","authors":"P.KANDAN, S Subramanian, P. Rajesh","doi":"10.22342/jims.28.2.1204.194-214","DOIUrl":"https://doi.org/10.22342/jims.28.2.1204.194-214","url":null,"abstract":"A large number of medical experiments have confirmed that the features of drugs have a close correlation with their molecular structure. Drug properties can be obtained by studying the molecular structure of corresponding drugs. The calculation of the topological index of a chemical graph enables scientists to have a better understanding of the physical chemistry and biological characteristics of drugs. In this paper, we focus on Hyaluronic Acid-Curcumin/Paclitaxel conjugate which are widely used in the manufacture of anticancer drugs. Therefore in this paper we have computed the Padmakar-Ivan related indices and its polynomial of the Hyaluronic Acid-curcumin/paclitaxel conjugate by using edge partitioning technique.","PeriodicalId":42206,"journal":{"name":"Journal of the Indonesian Mathematical Society","volume":" ","pages":""},"PeriodicalIF":0.3,"publicationDate":"2022-07-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48968028","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-07-31DOI: 10.22342/jims.28.2.1112.185-193
Diamond Kharkongor, L. Boro, M. Singh, Sanghita Dutta
Let R be a ring with unity. Taloukolaei and Sahebi [2] introduced the Von Neumann regular graph GV nr+(R) of a ring, whose vertex set is R and two distinct vertices x and y are adjacent if and only if x + y is a Von Neumann regular element. In this article, we investigate some new properties of GV nr+(R) such as traversability, pancyclic, unicyclic, chordal and perfect. We also investigate the domination parameters of GV nr+(R) such as dominating set, domination number, total domination number, connected domination number and give the condition when the GV nr+(R) is an excellent graph. Finally we determine the bondage number.
{"title":"Some Properties of Von Neumann Regular Graphs of Rings","authors":"Diamond Kharkongor, L. Boro, M. Singh, Sanghita Dutta","doi":"10.22342/jims.28.2.1112.185-193","DOIUrl":"https://doi.org/10.22342/jims.28.2.1112.185-193","url":null,"abstract":"Let R be a ring with unity. Taloukolaei and Sahebi [2] introduced the Von Neumann regular graph GV nr+(R) of a ring, whose vertex set is R and two distinct vertices x and y are adjacent if and only if x + y is a Von Neumann regular element. In this article, we investigate some new properties of GV nr+(R) such as traversability, pancyclic, unicyclic, chordal and perfect. We also investigate the domination parameters of GV nr+(R) such as dominating set, domination number, total domination number, connected domination number and give the condition when the GV nr+(R) is an excellent graph. Finally we determine the bondage number.","PeriodicalId":42206,"journal":{"name":"Journal of the Indonesian Mathematical Society","volume":" ","pages":""},"PeriodicalIF":0.3,"publicationDate":"2022-07-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43898060","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-07-31DOI: 10.22342/jims.28.2.1041.173-184
Muchammad Choerul Arifin, Naelufa Syifna Wifaqotul Muna, Arizka Yuliana, Lingga Sanjaya Putra Mahardhika, A. Santoso, D. Ertiningsih
COVID-19 or Coronavirus Disease-19 which first appeared in December 2019 has spread around the world, one of which is Indonesia. The spread of the COVID-19 has affected all areas of human life and the most affected area is health. It can be known from the number of COVID-19 patients in numerous national referral hospitals, one of which is RSUP Dr. Sardjito. This large number of COVID-19 patients often causes a high number of bed occupancy rates and has an impact on special rooms, the room for COVID-19 patients who come to the hospital for the first time or the Emergency Room (ER) and the room for COVID-19 patients from the ER who was declared seriously ill or inpatient. Furthermore, imbalance between the number of ER and Long-stay Patient Department (LPD) and the number of COVID-19 patients result in a decrease in the flow rate of COVID-19 patients from the ER to the long stay patient department. To find out the impact of that flow rate, this research was conducted using Richard's Curve and Kaplan-Meier Estimator. The results of this research show effect of flow rate which can be observed from the probability of COVID-19 patients who recovered or died in each special room. The probability of a COVID-19 patient in the ER recovered is greater than the probability of a patient died. Meanwhile, the probability of a COVID-19 patient in the long stay patient department recovered is smaller than the probability of a patient died.
{"title":"Effect of COVID-19 Patients Flow Rate from ER to LPD on COVID-19 Patients Healing Rates at RSUP DR. Sardjito’s ER","authors":"Muchammad Choerul Arifin, Naelufa Syifna Wifaqotul Muna, Arizka Yuliana, Lingga Sanjaya Putra Mahardhika, A. Santoso, D. Ertiningsih","doi":"10.22342/jims.28.2.1041.173-184","DOIUrl":"https://doi.org/10.22342/jims.28.2.1041.173-184","url":null,"abstract":"COVID-19 or Coronavirus Disease-19 which first appeared in December 2019 has spread around the world, one of which is Indonesia. The spread of the COVID-19 has affected all areas of human life and the most affected area is health. It can be known from the number of COVID-19 patients in numerous national referral hospitals, one of which is RSUP Dr. Sardjito. This large number of COVID-19 patients often causes a high number of bed occupancy rates and has an impact on special rooms, the room for COVID-19 patients who come to the hospital for the first time or the Emergency Room (ER) and the room for COVID-19 patients from the ER who was declared seriously ill or inpatient. Furthermore, imbalance between the number of ER and Long-stay Patient Department (LPD) and the number of COVID-19 patients result in a decrease in the flow rate of COVID-19 patients from the ER to the long stay patient department. To find out the impact of that flow rate, this research was conducted using Richard's Curve and Kaplan-Meier Estimator. The results of this research show effect of flow rate which can be observed from the probability of COVID-19 patients who recovered or died in each special room. The probability of a COVID-19 patient in the ER recovered is greater than the probability of a patient died. Meanwhile, the probability of a COVID-19 patient in the long stay patient department recovered is smaller than the probability of a patient died.","PeriodicalId":42206,"journal":{"name":"Journal of the Indonesian Mathematical Society","volume":" ","pages":""},"PeriodicalIF":0.3,"publicationDate":"2022-07-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47794544","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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