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Полная версия
ЖУРНАЛЫ // Труды Математического института имени В. А. Стеклова // Архив

Труды МИАН, 2006, том 252, страницы 150–157 (Mi tm68)

Hochschild Cohomology and Higher Order Extensions of Associative Algebras

R. T. Kurdiani

A. Razmadze Mathematical Institute, Georgian Academy of Sciences

Аннотация: 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.

УДК: 512.667

Поступило в феврале 2005 г.

Язык публикации: английский


 Англоязычная версия: Proceedings of the Steklov Institute of Mathematics, 2006, 252, 138–145

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