Semigroups satisfying \(xy=yg(x,y)x\)
type: Item
instance of: scholarly article
title: Semigroups satisfying \(xy=yg(x,y)x\)
zbMATH Open document ID: 0619.20039
DOI: 10.1007/BF02575020
author: Sherman Stein
published in: Semigroup Forum
publication date: 1987-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/134900
review text: Tamura proved that if every group that satisfies an identity of the form \(xy=yg(x,y)x\) is commutative, then so is every semigroup that satisfies that identity. The result was obtained as a consequence of a general structure theorem for semigroups that satisfy the identity. This note presents a short proof that bypasses the structure theorem.
Mathematics Subject Classification ID: 20M05
Mathematics Subject Classification ID: 20E10
zbMATH DE Number: 4004481
zbMATH Keywords: semigroups
zbMATH Keywords: identity
MaRDI profile type: Publication
cites work: Semigroups satisfying variable identities
cites work: Semigroups satisfying identity xy=f(x,y)
OpenAlex ID: W2056364286
description: scientific article; zbMATH DE number 4004481