Cohomology and deformation of an associative superalgebra-Reference-Cited by-同舟云学术

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Cohomology and deformation of an associative superalgebra

Published:2023 Issue:1 Volume:35 Page:86-110
ISSN:1726-3255
Container-title:Algebra and Discrete Mathematics
language:
Short-container-title:ADM

Author:

Yadav Raj Bhawan,

Abstract

In this paper we generalize to associative superalgebras Gerstenhaber's work on cohomology structure of an associative algebra. We introduce formal deformation theory of associative superalgebras.

Publisher

Luhansk Taras Shevchenko National University

Subject

Discrete Mathematics and Combinatorics,Algebra and Number Theory

Reference16 articles.

1. [1]G. Hochschild, On the cohomology groups of an associative algebra, Ann. of Math. 2, 46, 1945, pp. 58-67.

2. [2]G. Hochschild, On the cohomology theory for associative algebras, Ann. of Math. (2) 47, 1946, pp. 568-579.

3. [3]G. Hochschild, Cohomology and representations of associative algebras, Duke Math. J.14, 1947, pp. 921-948.

4. [4]M. Gerstenhaber, The cohomology structure of an associative ring, Ann. of Math. (2) 78, 1963, pp. 267-288.

5. [5]M. Gerstenhaber, On the deformation of rings and algebras, Ann. of Math., (2)79, 1964, pp. 59-103.

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