Semigroups of cohomological dimension one
type: Item
instance of: scholarly article
title: Semigroups of cohomological dimension one
zbMATH Open document ID: 0912.20051
author: B. V. Novikov
published in: Journal of Algebra
publication date: 1999-03-09T00:00:00Z
review text: The aim of this paper is to prove that any bilaterally cancellative semigroup \(S\) of cohomological dimension \(1\) is embeddable into a group, in fact, it is proved that \(S\) is an \(L_\infty\) semigroup. It is known that the converse is not true. Some properties of cyclic systems of equations in cancellative semigroups of cohomological dimension \(1\) are stated.
Mathematics Subject Classification ID: 20M50
Mathematics Subject Classification ID: 20M05
Mathematics Subject Classification ID: 20J05
zbMATH DE Number: 1218665
zbMATH Keywords: cancellative semigroups
zbMATH Keywords: systems of equations
zbMATH Keywords: cohomological dimension of semigroups
zbMATH Keywords: group embeddable semigroups
reviewed by: Václav Koubek
MaRDI profile type: Publication
full work available at URL: jabr.1997.7363
OpenAlex ID: W2024107033
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DOI: 10.1006/JABR.1997.7363
description: scientific article; zbMATH DE number 1218665