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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2006, Volume 252, Pages 150–157
(Mi tm68)
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Hochschild Cohomology and Higher Order Extensions of Associative Algebras
R. T. Kurdiani A. Razmadze Mathematical Institute, Georgian Academy of Sciences
Abstract:
The $n$th Hochschild cohomology group is described by $(n-2)$-extensions (Theorem 1). When $n=2,3$, the theorem reduces to the well-known classical results; for $n=1$, we get a description of the group of derivations by extensions; and for $n\ge 4$, this gives us a new description of cohomology groups. One can consider this theorem as an alternative definition of cohomology theory. So, one has some kind of hint to define cohomology theory for various algebraic structures.
Received in February 2005
Citation:
R. T. Kurdiani, “Hochschild Cohomology and Higher Order Extensions of Associative Algebras”, Geometric topology, discrete geometry, and set theory, Collected papers, Trudy Mat. Inst. Steklova, 252, Nauka, MAIK «Nauka/Inteperiodika», M., 2006, 150–157; Proc. Steklov Inst. Math., 252 (2006), 138–145
Linking options:
https://www.mathnet.ru/eng/tm68 https://www.mathnet.ru/eng/tm/v252/p150
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Statistics & downloads: |
Abstract page: | 207 | Full-text PDF : | 81 | References: | 30 |
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