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arXiv · 0802.4414

Semigroup cohomology as a derived functor

A. A. Kostin·B. V. Novikov
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Abstract

In this work we construct an extension for the category of 0-modules by analogy with [H.-J. Baues and G. Wirshing, Cohomology of small categories, J. Pure Appl. Algebra, 38(1985), 187-211]. The 0-cohomology functor becomes a derived functor in the extended category. As an application of this construction we calculate the cohomological dimension of so-called 0-free monoids.

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A. A. Kostin, B. V. Novikov. 2008-02-29. Semigroup cohomology as a derived functor. https://arxiv.org/abs/0802.4414

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