Semigroup cohomology as a derived functor
Category Theory
2008-03-03 v1 Group Theory
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.
Cite
@article{arxiv.0802.4414,
title = {Semigroup cohomology as a derived functor},
author = {A. A. Kostin and B. V. Novikov},
journal= {arXiv preprint arXiv:0802.4414},
year = {2008}
}
Comments
8 pages, Latex