Pub Date : 2022-07-30DOI: 10.22342/jims.28.2.1197.147-157
Romen Meitei Soibam
The concept of n-bounded and n-continuous operators is discussed as an extension of the concept introduced in [12]. The equivalence of three statements on n-continuity and n-boundedness of a linear operator from a normed space into an n-normed space is also proved. This newly introduced concept is proved to be identical to one type of n-continuity introduced in [12].
{"title":"n-Boundedness and n-Continuity of Linear Operators","authors":"Romen Meitei Soibam","doi":"10.22342/jims.28.2.1197.147-157","DOIUrl":"https://doi.org/10.22342/jims.28.2.1197.147-157","url":null,"abstract":"The concept of n-bounded and n-continuous operators is discussed as an extension of the concept introduced in [12]. The equivalence of three statements on n-continuity and n-boundedness of a linear operator from a normed space into an n-normed space is also proved. This newly introduced concept is proved to be identical to one type of n-continuity introduced in [12].","PeriodicalId":42206,"journal":{"name":"Journal of the Indonesian Mathematical Society","volume":" ","pages":""},"PeriodicalIF":0.3,"publicationDate":"2022-07-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42650290","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 : 2022-07-30DOI: 10.22342/jims.28.2.1111.122-132
L. Wiryanto, R. Widyawati
Dynamic equations of flow in a rectangular inclined channel are solved numerically for the case where the friction force of the channel wall is neglected by the gravity force. The flow discharge and the cross-section area along the channel are physical quantity that is calculated. In non-dimensional variables, the equations indicate solution in traveling wave occurring for critical flow. Near that type of flow, the perturbation method is applied to get second order equations that are first order partial differential equation with external force from the lower order equations. Numerical solution is obtained by predictor-corrector method, and the effect of these second order equations can be observed to the traveling wave, depending on the type of the flow, su-percritical or subcritical.
{"title":"Numerical Simulation of Flood Routing, Model of Dynamic Equations","authors":"L. Wiryanto, R. Widyawati","doi":"10.22342/jims.28.2.1111.122-132","DOIUrl":"https://doi.org/10.22342/jims.28.2.1111.122-132","url":null,"abstract":"Dynamic equations of flow in a rectangular inclined channel are solved numerically for the case where the friction force of the channel wall is neglected by the gravity force. The flow discharge and the cross-section area along the channel are physical quantity that is calculated. In non-dimensional variables, the equations indicate solution in traveling wave occurring for critical flow. Near that type of flow, the perturbation method is applied to get second order equations that are first order partial differential equation with external force from the lower order equations. Numerical solution is obtained by predictor-corrector method, and the effect of these second order equations can be observed to the traveling wave, depending on the type of the flow, su-percritical or subcritical.","PeriodicalId":42206,"journal":{"name":"Journal of the Indonesian Mathematical Society","volume":" ","pages":""},"PeriodicalIF":0.3,"publicationDate":"2022-07-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41692396","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 : 2022-07-30DOI: 10.22342/jims.28.2.1057.164-172
Daniel Salim, Y. Soeharyadi, W. S. Budhi
In 2019, Salim et al proved the vector-valued inequality for maximal operator with rough kernel on Lebesgue spaces and Morrey spaces. This results extend Fefferman-Stein inequality (1971). In 1970’s, Adams introduced another variant of Morrey spaces, which called as Morrey-Adams spaces. In this article, we prove vector-valued inequality for maximal operator and fractional integral operator with rough kernel on Morrey–Adams spaces.
{"title":"Vector-Valued Inequality of Fractional Integral Operator with Rough Kernel on Morrey-Adams Spaces","authors":"Daniel Salim, Y. Soeharyadi, W. S. Budhi","doi":"10.22342/jims.28.2.1057.164-172","DOIUrl":"https://doi.org/10.22342/jims.28.2.1057.164-172","url":null,"abstract":"In 2019, Salim et al proved the vector-valued inequality for maximal operator with rough kernel on Lebesgue spaces and Morrey spaces. This results extend Fefferman-Stein inequality (1971). In 1970’s, Adams introduced another variant of Morrey spaces, which called as Morrey-Adams spaces. In this article, we prove vector-valued inequality for maximal operator and fractional integral operator with rough kernel on Morrey–Adams spaces.","PeriodicalId":42206,"journal":{"name":"Journal of the Indonesian Mathematical Society","volume":" ","pages":""},"PeriodicalIF":0.3,"publicationDate":"2022-07-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48413338","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 : 2022-07-30DOI: 10.22342/jims.28.2.1127.133-146
S. Baupradist, Burhan Chemat, R. Chinram
In this research paper, the concepts of uniform fuzzy modules and semiuniform fuzzy modules were studied. We discussed the necessary and sufficient conditions between uniform fuzzy modules (and semiuniform fuzzy modules) in fuzzy set theory and uniform modules (and semiuniform modules) in module theory.
{"title":"Properties of Uniform Fuzzy Modules and Semiuniform Fuzzy Modules","authors":"S. Baupradist, Burhan Chemat, R. Chinram","doi":"10.22342/jims.28.2.1127.133-146","DOIUrl":"https://doi.org/10.22342/jims.28.2.1127.133-146","url":null,"abstract":"In this research paper, the concepts of uniform fuzzy modules and semiuniform fuzzy modules were studied. We discussed the necessary and sufficient conditions between uniform fuzzy modules (and semiuniform fuzzy modules) in fuzzy set theory and uniform modules (and semiuniform modules) in module theory.","PeriodicalId":42206,"journal":{"name":"Journal of the Indonesian Mathematical Society","volume":" ","pages":""},"PeriodicalIF":0.3,"publicationDate":"2022-07-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43942535","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 : 2022-07-30DOI: 10.22342/jims.28.2.1064.158-163
Jonald P. Fenecios, A. Racca
Let $X$ be a complete separable metric space and $Y$ be a separable Banach space. We provide a proof of equivalence by linking explicitly the following statements: noindent textbf{textit{Lebesgue's Theorem.}} For every $epsilon>0$ there exists a countable collection of closed sets $leftlbrace C_nrightrbrace $ of $X$ such that $$X=bigcup_{n=1}^{infty}C_n;;text{and};; omega_fleft( C_nright)
{"title":"Equivalence of Lebesgue's Theorem and Baire Characterization Theorem","authors":"Jonald P. Fenecios, A. Racca","doi":"10.22342/jims.28.2.1064.158-163","DOIUrl":"https://doi.org/10.22342/jims.28.2.1064.158-163","url":null,"abstract":"Let $X$ be a complete separable metric space and $Y$ be a separable Banach space. We provide a proof of equivalence by linking explicitly the following statements: noindent textbf{textit{Lebesgue's Theorem.}} For every $epsilon>0$ there exists a countable collection of closed sets $leftlbrace C_nrightrbrace $ of $X$ such that $$X=bigcup_{n=1}^{infty}C_n;;text{and};; omega_fleft( C_nright)<epsilon;; text{for each} ;; n.$$ textbf{textit{Baire Characterization Theorem.}} For every nonempty perfect set $Ksubset X$, the function $f|_K$ has at least one point of continuity in $K$. In fact, $C(f|_K)$ is dense in $K$. indent Moreover, replacing ``closed'' by ``open'' in the Lebesgue's Theorem, we obtain a characterization of continuous functions on space $X$.","PeriodicalId":42206,"journal":{"name":"Journal of the Indonesian Mathematical Society","volume":" ","pages":""},"PeriodicalIF":0.3,"publicationDate":"2022-07-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47862063","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 : 2022-07-27DOI: 10.22342/jims.28.2.1052.107-121
Sami H. Altoum, A. Msmali, M. Elamin
This paper deals with the theory of V. Kondratiev which allows to study the regularity of elliptical problems in corner domains. After having introduced the Mellin transform and the Sobolev spaces to weight, we recall the links with Sobolev spaces. The Mellin transform represent an important key to study the H^s regularity in corner domains.
{"title":"Solution of Laplace’s Equation in A Singular Domain Using Mellin Transform","authors":"Sami H. Altoum, A. Msmali, M. Elamin","doi":"10.22342/jims.28.2.1052.107-121","DOIUrl":"https://doi.org/10.22342/jims.28.2.1052.107-121","url":null,"abstract":"This paper deals with the theory of V. Kondratiev which allows to study the regularity of elliptical problems in corner domains. After having introduced the Mellin transform and the Sobolev spaces to weight, we recall the links with Sobolev spaces. The Mellin transform represent an important key to study the H^s regularity in corner domains.","PeriodicalId":42206,"journal":{"name":"Journal of the Indonesian Mathematical Society","volume":" ","pages":""},"PeriodicalIF":0.3,"publicationDate":"2022-07-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46949893","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 : 2022-03-31DOI: 10.22342/jims.28.1.1058.84-95
G.F. Wankap Nono, A. Ntyam, Emmanuel Hinamari Mang-Massou
For a Golden-structure ζ on a smooth manifold M and any covariant functor which assigns to M its bundle MA of infinitely near points of A-king, we define the Golden structure ζ^A on M^A and prove that ζ is integrable if and only if so is ζ^A. We also investigate the integrability, parallelism, half parallelism and anti-half parallelism of the Golden-structure ζ^A and their associated distributions on M^A.
{"title":"Prolongations of Golden Structure to Bundles of Infinitely Near Points","authors":"G.F. Wankap Nono, A. Ntyam, Emmanuel Hinamari Mang-Massou","doi":"10.22342/jims.28.1.1058.84-95","DOIUrl":"https://doi.org/10.22342/jims.28.1.1058.84-95","url":null,"abstract":"For a Golden-structure ζ on a smooth manifold M and any covariant functor which assigns to M its bundle MA of infinitely near points of A-king, we define the Golden structure ζ^A on M^A and prove that ζ is integrable if and only if so is ζ^A. We also investigate the integrability, parallelism, half parallelism and anti-half parallelism of the Golden-structure ζ^A and their associated distributions on M^A.","PeriodicalId":42206,"journal":{"name":"Journal of the Indonesian Mathematical Society","volume":" ","pages":""},"PeriodicalIF":0.3,"publicationDate":"2022-03-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49019340","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 : 2022-03-30DOI: 10.22342/jims.28.1.991.75-83
P. Karmakar, A. Bhattacharyya
In this paper we analyse briefly some properties of hemi-slant sub-manifold of (LCS)n-manifold. Here we discuss about some necessary and sufficient conditions for distributions to be integrable and obtain some results in this direction. We also study the geometry of leaves of hemi-slant submanifold of (LCS)n-manifold. At last we give an example of a hemi-slant submanifold of an (LCS)n-manifold.
{"title":"Hemi-Slant Submanifold of (LCS)n-Manifold","authors":"P. Karmakar, A. Bhattacharyya","doi":"10.22342/jims.28.1.991.75-83","DOIUrl":"https://doi.org/10.22342/jims.28.1.991.75-83","url":null,"abstract":"In this paper we analyse briefly some properties of hemi-slant sub-manifold of (LCS)n-manifold. Here we discuss about some necessary and sufficient conditions for distributions to be integrable and obtain some results in this direction. We also study the geometry of leaves of hemi-slant submanifold of (LCS)n-manifold. At last we give an example of a hemi-slant submanifold of an (LCS)n-manifold.","PeriodicalId":42206,"journal":{"name":"Journal of the Indonesian Mathematical Society","volume":"25 1","pages":""},"PeriodicalIF":0.3,"publicationDate":"2022-03-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41271273","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 : 2022-03-28DOI: 10.22342/jims.28.1.1032.69-74
S. Sujitha, Mary Jenitha Lazer
An edge subset F of a connected graph G is a super edge cut if G − F is disconnected and every component of G−F has atleast two vertices. The minimum cardinality of super edge cut is called super edge connectivity number and it is denoted by λ'(G). Every arithmetic graph G = Vn, n not equal to p1 × p2 has super edge cut. In this paper, the authors study super edge connectivity number of an arithmetic graphs G = Vn, n = p_1^a_1 × p_2^a_2 , a1 > 1, a2 ≥ 1, and G = Vn, n = p_1^a_1 × p_2^a_2 × · · · ×p_r^a_r , r > 2, ai ≥ 1, 1 ≤ i ≤ r.
连通图G的边子集F是一个超边切，如果G−F是不连通的，并且G−F的每个分量至少有两个顶点。超边切的最小基数称为超边连通性数，用λ’(G)表示。每个算术图G = Vn, n不等于p1 × p2都有超切边。本文研究了一类算术图G = Vn, n = p_1^a_1 × p_2^a_2, a1 > 1, a2≥1，以及G = Vn, n = p_1^a_1 × p_2^a_2 ×··×p_r^a_r, r > 2, ai≥1,1≤i≤r的超边连通性数。
{"title":"Super Edge Connectivity Number of an Arithmetic Graph","authors":"S. Sujitha, Mary Jenitha Lazer","doi":"10.22342/jims.28.1.1032.69-74","DOIUrl":"https://doi.org/10.22342/jims.28.1.1032.69-74","url":null,"abstract":"An edge subset F of a connected graph G is a super edge cut if G − F is disconnected and every component of G−F has atleast two vertices. The minimum cardinality of super edge cut is called super edge connectivity number and it is denoted by λ'(G). Every arithmetic graph G = Vn, n not equal to p1 × p2 has super edge cut. In this paper, the authors study super edge connectivity number of an arithmetic graphs G = Vn, n = p_1^a_1 × p_2^a_2 , a1 > 1, a2 ≥ 1, and G = Vn, n = p_1^a_1 × p_2^a_2 × · · · ×p_r^a_r , r > 2, ai ≥ 1, 1 ≤ i ≤ r.","PeriodicalId":42206,"journal":{"name":"Journal of the Indonesian Mathematical Society","volume":" ","pages":""},"PeriodicalIF":0.3,"publicationDate":"2022-03-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47213427","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 : 2022-03-25DOI: 10.22342/jims.28.1.992.44-51
G. Malleswari, S. Sreenivasulu, G. Shobhalatha
Let R be a semiprime ring, I a non-zero ideal of R and α be an automorphism of R. A map F : R to R is said to be a multiplicative (generalized)(α, 1)-derivation associated with a map d : R to R such that F (xy) = F (x) α (y) + xd (y), for all x, y in R. In the present paper, we shall prove that R contains a non-zero central ideal if any one of the following holds: (i) F [x, y] ± [x,y] =0; (ii) F (xoy)±α(xoy) = 0; (iii) F [x, y] = [F (x) , y]α;1 ; (iv) F [x, y] =(F (x) oy)α;1 ; (v) F (xoy) = [F(x) , y]α;1 and (vi)F (xoy) = (F (x) oy)α;1, for all x, y in I.
{"title":"Some Identities Involving Multiplicative (Generalized)(α; 1)-Derivations in Semiprime Rings","authors":"G. Malleswari, S. Sreenivasulu, G. Shobhalatha","doi":"10.22342/jims.28.1.992.44-51","DOIUrl":"https://doi.org/10.22342/jims.28.1.992.44-51","url":null,"abstract":"Let R be a semiprime ring, I a non-zero ideal of R and α be an automorphism of R. A map F : R to R is said to be a multiplicative (generalized)(α, 1)-derivation associated with a map d : R to R such that F (xy) = F (x) α (y) + xd (y), for all x, y in R. In the present paper, we shall prove that R contains a non-zero central ideal if any one of the following holds: (i) F [x, y] ± [x,y] =0; (ii) F (xoy)±α(xoy) = 0; (iii) F [x, y] = [F (x) , y]α;1 ; (iv) F [x, y] =(F (x) oy)α;1 ; (v) F (xoy) = [F(x) , y]α;1 and (vi)F (xoy) = (F (x) oy)α;1, for all x, y in I.","PeriodicalId":42206,"journal":{"name":"Journal of the Indonesian Mathematical Society","volume":" ","pages":""},"PeriodicalIF":0.3,"publicationDate":"2022-03-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44697658","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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