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0-cohomology of semigroups. (English) Zbl 1213.20066
Hazewinkel, M. (ed.), Handbook of algebra. Volume 5. Amsterdam: Elsevier/Noth-Holland (ISBN 978-0-444-53101-8/hbk). Handbook of Algebra 5, 189-209 (2008).
This is a survey on \(0\)-cohomology of semigroups. The author discusses Eilenberg-MacLane cohomology, properties of \(0\)-cohomology, projective representations of semigroups, Brauer monoid, partial representations of groups, cohomology of small categories.
For the entire collection see [Zbl 1182.00008].

MSC:
20M50 Connections of semigroups with homological algebra and category theory
20-02 Research exposition (monographs, survey articles) pertaining to group theory
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