Semigroup cohomology and applications
| dc.creator | Novikov, B. V. | |
| dc.date | 2008-03-04 | |
| dc.date.accessioned | 2026-07-07T09:24:35Z | |
| dc.date.available | 2026-07-07T09:24:35Z | |
| dc.description | This article is a survey of the author's research. It consists of three sections concerned three kinds of cohomologies of semigroups. Section 1 considers `classic' cohomology as it was introduced by Eilenberg and MacLane. Here the attention is concentrated mainly on semigroups having cohomological dimension 1. In Section 2 a generalization of the Eilenberg-MacLane cohomology is introduced, the so-called 0-cohomology, which appears in applied topics (projective representations of semigroups, Brauer monoids). At last Section 3 is devoted to further generalizing: partial cohomology defined and discussed in it are used then for calculation of the classic cohomology for some semigroups. | |
| dc.description | 16 pages, Latex | |
| dc.identifier | https://arxiv.org/abs/0803.0463 | |
| dc.identifier | http://arxiv.org/abs/0803.0463 | |
| dc.identifier | Algebra-Representation theory, NATO Sci. Ser. II, 28, Kluwer, 2001, 219-234 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/156145 | |
| dc.subject | Rings and Algebras | |
| dc.subject | K-Theory and Homology | |
| dc.subject | 20M50 | |
| dc.title | Semigroup cohomology and applications | |
| dc.type | text |