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Semigroup cohomology and applications. (English) Zbl 0994.20049
Roggenkamp, Klaus W. (ed.) et al., Algebra - representation theory. Proceedings of the NATO Advanced Study Institute, Constanta, Romania, August 2-12, 2000. Dordrecht: Kluwer Academic Publishers. NATO Sci. Ser. II, Math. Phys. Chem. 28, 219-234 (2001).
The article is a systematic survey of the author’s research during the past more than twenty years and deals mainly with the following topics: semigroups having cohomological dimension 1, generalization of the Eilenberg-MacLane cohomology (called 0-cohomology), partial cohomology. The results are illustrated with a number of examples and counterexamples.
For the entire collection see [Zbl 0969.00049].
Reviewer: P.Normak (Tallinn)

20M50 Connections of semigroups with homological algebra and category theory