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

Authors

  • Khondokar M. Ahmed
  • S. K. Rasel
  • Jyoti Das
  • Saraban Tahura
  • Salma Nasrin

Keywords:

-graded rings, modules, commutative ring and graded algebras, tensor calculus, general graded linear group, -, the set of graded matrices, ( ) ( )- and graded -algebra.

Abstract

Some elements of theory of -graded rings, modules and algebras. -graded tensor algebra, Lie superalgrbras and matrices with entries in a -graded commutative ring are treated in our present paper. At last a Theorem 4.4.on the set of square matrices in the graded -algebra , - is established.

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