Some Results on Factorization of Monoids
Rings and Algebras
2022-03-07 v1
Abstract
Factorizations of monoids are studied. Two necessary and sufficient conditions in terms of so-called descent 1-cocyles for a monoid to be factorized through two submonoids are found. A full classification of those factorizations of a monoid whose one factor is a subgroup of the monoid is obtained. The relationship between monoid factorizations and non-abelian cohomology of monoids is analyzed. Some applications to semi-direct product of monoids are given.
Keywords
Cite
@article{arxiv.2203.02422,
title = {Some Results on Factorization of Monoids},
author = {Zsolt Adam Balogh and Tamar Mesablishvili},
journal= {arXiv preprint arXiv:2203.02422},
year = {2022}
}