A note on the multiplicative semigroups \(\mathbb{Z}_n\) whose bi-ideals are quasi-ideals
type: Item
instance of: scholarly article
title: A note on the multiplicative semigroups \(\mathbb{Z}_n\) whose bi-ideals are quasi-ideals
zbMATH Open document ID: 0998.20052
author: Y. Kemprasit
author: S. Baupradist
published in: Southeast Asian Bulletin of Mathematics
publication date: 2002-05-30T00:00:00Z
review text: A bi-ideal of a semigroup \(S\) is a subsemigroup \(B\) such that \(BSB\subseteq B\). In the present note it is shown that in the multiplicative semigroup of integers modulo \(n\), every bi-ideal is an ideal if and only if \(n=4\) or \(n\) is square-free.
reviewed by: L. Márki
Mathematics Subject Classification ID: 20M12
Mathematics Subject Classification ID: 11A05
zbMATH DE Number: 1747998
zbMATH Keywords: bi-ideals
zbMATH Keywords: quasi-ideals
zbMATH Keywords: multiplicative semigroups of integers modulo \(n\)
MaRDI profile type: Publication
full work available at URL: s10012-001-0269-9
OpenAlex ID: W2052830053
DOI: 10.1007/S10012-001-0269-9
description: scientific article; zbMATH DE number 1747998