Study of Graded Algebras and General Linear Group with Lie Superalgebras and R-Algebra

Authors

  • Khondokar M Ahmed Department of Mathematics, University of Dhaka, Dhaka-1000, Bangladesh
  • SK Rasel Department of General Educational Development, Daffodil International University, Dhaka-1207, Bangladesh
  • Jyoti Das Department of Mathematics, Comilla University, Comilla, Bangladesh
  • Saraban Tahura Department of Natural Sciences, University of Information Technology and Sciences, Dhaka 1212, Bangladesh
  • Salma Nasrin Department of Mathematics, University of Dhaka, Dhaka-1000, Bangladesh

DOI:

https://doi.org/10.3329/dujs.v68i1.54590

Keywords:

Z2-graded rings, modules, commutative ring and graded algebras, tensor calculus, general graded linear group ,GL[m I n], the set of graded matrices MR[(q p) X (m n)]- and graded R-algebra

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.

Dhaka Univ. J. Sci. 68(1): 1-5, 2020 (January)

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Published

2020-01-30

How to Cite

Ahmed, K. M., Rasel, S., Das, J., Tahura, S., & Nasrin, S. (2020). Study of Graded Algebras and General Linear Group with Lie Superalgebras and R-Algebra. Dhaka University Journal of Science, 68(1), 1–5. https://doi.org/10.3329/dujs.v68i1.54590

Issue

Vol. 68 No. 1 (2020)

Section

Articles