Khondokar M. Ahmed, Sk Rasel, J. Das, Saraban Tahura, S. Nasrin
{"title":"具有李超代数和r -代数的梯度代数和一般线性群的研究","authors":"Khondokar M. Ahmed, Sk Rasel, J. Das, Saraban Tahura, S. Nasrin","doi":"10.3329/dujs.v68i1.54590","DOIUrl":null,"url":null,"abstract":"Some elements of theory of Z2 graded rings, modules and algebras. Z2-graded tensor algebra, Lie superalgrbras and matrices with entries in a Z2-graded commutative ring are treated in our present paper. At last a Theorem 4.4.on the set of square matrices in the graded R-algebra , MR-[m I n] is established. \nDhaka Univ. J. Sci. 68(1): 1-5, 2020 (January)","PeriodicalId":11280,"journal":{"name":"Dhaka University Journal of Science","volume":"15 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2020-01-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Study of Graded Algebras and General Linear Group with Lie Superalgebras and R-Algebra\",\"authors\":\"Khondokar M. Ahmed, Sk Rasel, J. Das, Saraban Tahura, S. Nasrin\",\"doi\":\"10.3329/dujs.v68i1.54590\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Some elements of theory of Z2 graded rings, modules and algebras. Z2-graded tensor algebra, Lie superalgrbras and matrices with entries in a Z2-graded commutative ring are treated in our present paper. At last a Theorem 4.4.on the set of square matrices in the graded R-algebra , MR-[m I n] is established. \\nDhaka Univ. J. Sci. 68(1): 1-5, 2020 (January)\",\"PeriodicalId\":11280,\"journal\":{\"name\":\"Dhaka University Journal of Science\",\"volume\":\"15 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2020-01-30\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Dhaka University Journal of Science\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.3329/dujs.v68i1.54590\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Dhaka University Journal of Science","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.3329/dujs.v68i1.54590","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
摘要
Z2梯度环、模和代数理论的若干要素。本文讨论了z2阶张量代数、李超代数和在z2阶交换环上有分量的矩阵。最后得出定理4.4。在梯度r代数的方阵集合上,建立了MR-[m I n]。达卡大学学报,68(1):1-5,2020 (1)
Study of Graded Algebras and General Linear Group with Lie Superalgebras and R-Algebra
Some elements of theory of Z2 graded rings, modules and algebras. Z2-graded tensor algebra, Lie superalgrbras and matrices with entries in a Z2-graded commutative ring are treated in our present paper. At last a Theorem 4.4.on the set of square matrices in the graded R-algebra , MR-[m I n] is established.
Dhaka Univ. J. Sci. 68(1): 1-5, 2020 (January)