Which of the cancellative semigroups are groups?
type: Item
instance of: scholarly article
title: Which of the cancellative semigroups are groups?
zbMATH Open document ID: 0926.20041
DOI: 10.1007/PL00005991
published in: Semigroup Forum
publication date: 1999-12-01T00:00:00Z
review text: It is proved that a cancellative semigroup \((S,\cdot)\) is a group iff there exists a function \(f\colon S\to S\) such that the set \(\{sf(s)\mid s\in S\}\) is finite.
Mathematics Subject Classification ID: 20M10
zbMATH DE Number: 1268038
zbMATH Keywords: cancellative semigroups
zbMATH Keywords: groups
author: Peter Pröhle
reviewed by: Marin Guţan
MaRDI profile type: Publication
full work available at URL: pl00005991
OpenAlex ID: W1979395993
description: scientific article; zbMATH DE number 1268038