"Let G be the infinite dimensional Grassmann algebra. In this study, we determine a subgroup of the automorphism group Aut(G) of the algebra G which is of an importance in the description of the group Aut(G). We give an infinite generating set for this subgroup and suggest an algorithm which shows how to express each automorphism as compositions of generating elements."
{"title":"\"An algorithm for automorphisms of infinite dimensional Grassmann algebras\"","authors":"Nazan Akdoğan","doi":"10.37193/cmi.2021.02.01","DOIUrl":"https://doi.org/10.37193/cmi.2021.02.01","url":null,"abstract":"\"Let G be the infinite dimensional Grassmann algebra. In this study, we determine a subgroup of the automorphism group Aut(G) of the algebra G which is of an importance in the description of the group Aut(G). We give an infinite generating set for this subgroup and suggest an algorithm which shows how to express each automorphism as compositions of generating elements.\"","PeriodicalId":112946,"journal":{"name":"Creative Mathematics and Informatics","volume":"43 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-09-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132148342","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}
{"title":"Creative Mathematics and Informatics: 30 years on","authors":"V. Berinde","doi":"10.37193/cmi.2021.02.03","DOIUrl":"https://doi.org/10.37193/cmi.2021.02.03","url":null,"abstract":"","PeriodicalId":112946,"journal":{"name":"Creative Mathematics and Informatics","volume":"4 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-09-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114909369","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}
A BSTRACT . In this paper we check the status of the already known result “level subgroups of any fuzzy subgroup of a finite group forms a chain” in Intuitionistic Fuzzy environment. The tool we use for this is the Klein-4 group V , which is a non-cyclic group. We prove that V has 64 distinct Intuitionistic Fuzzy Subgroups (IFSGs) upto isomorphism. The Intuitionistic Level Subgroups (ILSGs) of only 40 among them form chains and so the result is not true in intuitionistic fuzzy case. To strengthen our findings we provide a python program to construct the geometric representations of all the 64 IFSGs and its output.
{"title":"Intuitionistic level subgroups in the Klein-4 group","authors":"S. D. M. Daise, S. Tresa, Shery Fernandez","doi":"10.37193/cmi.2021.02.06","DOIUrl":"https://doi.org/10.37193/cmi.2021.02.06","url":null,"abstract":"A BSTRACT . In this paper we check the status of the already known result “level subgroups of any fuzzy subgroup of a finite group forms a chain” in Intuitionistic Fuzzy environment. The tool we use for this is the Klein-4 group V , which is a non-cyclic group. We prove that V has 64 distinct Intuitionistic Fuzzy Subgroups (IFSGs) upto isomorphism. The Intuitionistic Level Subgroups (ILSGs) of only 40 among them form chains and so the result is not true in intuitionistic fuzzy case. To strengthen our findings we provide a python program to construct the geometric representations of all the 64 IFSGs and its output.","PeriodicalId":112946,"journal":{"name":"Creative Mathematics and Informatics","volume":"27 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-09-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133405086","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}
S. Pirzada, B. Rather, T. A. Naikoo, T. A. Chishti, India Commerce
{"title":"On first general Zagreb index of tournaments","authors":"S. Pirzada, B. Rather, T. A. Naikoo, T. A. Chishti, India Commerce","doi":"10.37193/cmi.2021.02.09","DOIUrl":"https://doi.org/10.37193/cmi.2021.02.09","url":null,"abstract":"","PeriodicalId":112946,"journal":{"name":"Creative Mathematics and Informatics","volume":"6 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-09-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125858595","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}
{"title":"Several Zagreb indices of double square snake graphs","authors":"Pushpalatha Mahalank, B. K. Majhi, I. N. Cangul","doi":"10.37193/cmi.2021.02.08","DOIUrl":"https://doi.org/10.37193/cmi.2021.02.08","url":null,"abstract":"","PeriodicalId":112946,"journal":{"name":"Creative Mathematics and Informatics","volume":"39 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-09-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127745230","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}
{"title":"The Golden Inheritance of Renaissance","authors":"Madline I. Ceccia, Bogdan D. Suceavă","doi":"10.37193/cmi.2021.02.05","DOIUrl":"https://doi.org/10.37193/cmi.2021.02.05","url":null,"abstract":"","PeriodicalId":112946,"journal":{"name":"Creative Mathematics and Informatics","volume":"61 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-09-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126926778","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}
In this work, we determine the general terms of balcobalancing numbers, balcobalancers and also Lucas–balcobalancing numbers in terms of balancing numbers. Further we formulate the sums of these numbers and derive some relations associated with Pell, Pell–Lucas and square triangular numbers.
{"title":"Balcobalancing numbers and balcobalancers","authors":"A. Tekcan, Meryem Yildiz","doi":"10.37193/cmi.2021.02.11","DOIUrl":"https://doi.org/10.37193/cmi.2021.02.11","url":null,"abstract":"In this work, we determine the general terms of balcobalancing numbers, balcobalancers and also Lucas–balcobalancing numbers in terms of balancing numbers. Further we formulate the sums of these numbers and derive some relations associated with Pell, Pell–Lucas and square triangular numbers.","PeriodicalId":112946,"journal":{"name":"Creative Mathematics and Informatics","volume":"9 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-09-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121917073","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}
"In this manuscript, the authors derived a definite integral involving the logarithmic function, function of powers and polynomials in terms of the Lerch function. A summary of the results is produced in the form of a table of definite integrals for easy referencing by readers."
{"title":"A note on an integral by Grigorii Mikhailovich Fichtenholz","authors":"R. Reynolds","doi":"10.37193/cmi.2022.01.09","DOIUrl":"https://doi.org/10.37193/cmi.2022.01.09","url":null,"abstract":"\"In this manuscript, the authors derived a definite integral involving the logarithmic function, function of powers and polynomials in terms of the Lerch function. A summary of the results is produced in the form of a table of definite integrals for easy referencing by readers.\"","PeriodicalId":112946,"journal":{"name":"Creative Mathematics and Informatics","volume":"16 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-03-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123626438","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}
Let K be a complete ultrametric algebraically closed field and A (K) be the K-algebra of entire functions on K. For any p adic entire functions f ∈ A (K) and r > 0, we denote by |f| (r) the number sup {|f (x) | : |x| = r} where |·| (r) is a multiplicative norm on A (K) . In this paper we study some growth properties of composite p-adic entire functions on the basis of their relative (p, q)-ϕ order, relative (p, q)-ϕ type and relative (p, q)-ϕ weak type where p, q are any two positive integers and ϕ (r) : [0, +∞) → (0, +∞) is a non-decreasing unbounded function of r.
{"title":"Relative (p,q)-φ order and relative (p,q)-φ type based on some growth properties of composite p-adic entire functions","authors":"Biswas Tanmay","doi":"10.37193/CMI.2020.01.02","DOIUrl":"https://doi.org/10.37193/CMI.2020.01.02","url":null,"abstract":"Let K be a complete ultrametric algebraically closed field and A (K) be the K-algebra of entire functions on K. For any p adic entire functions\u0000f ∈ A (K) and r > 0, we denote by |f| (r) the number sup {|f (x) | : |x| = r} where |·| (r) is a multiplicative norm on A (K) . In this paper we\u0000study some growth properties of composite p-adic entire functions on the basis of their relative (p, q)-ϕ order, relative (p, q)-ϕ type and relative\u0000(p, q)-ϕ weak type where p, q are any two positive integers and ϕ (r) : [0, +∞) → (0, +∞) is a non-decreasing unbounded function of r.","PeriodicalId":112946,"journal":{"name":"Creative Mathematics and Informatics","volume":"29 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-01-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126193783","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}
京公网安备 11010802042870号
京ICP备2023020795号-1
扫码关注我们
求助内容：
应助结果提醒方式：