Constituent Groups of Clifford Semigroups Arising from t-Closure

Simple item page
dc.creatorKabbaj, S.
dc.creatorMimouni, A.
dc.date2006-11-10
dc.date2008-12-06
dc.date.accessioned2026-07-07T12:31:42Z
dc.date.available2026-07-07T12:31:42Z
dc.descriptionThe t-class semigroup of an integral domain R, denoted S_t(R), is the semigroup of fractional t-ideals modulo its subsemigroup of nonzero principal ideals with the operation induced by ideal t-multiplication. We recently proved that if R is a Krull-type domain, then S_t(R) is a Clifford semigroup. This paper aims to describe the idempotents of S_t(R) and the structure of their associated groups. We extend and recover well-known results on class semigroups of valuation domains and Prufer domains of finite character.
dc.description13 pages. To appear in Journal of Algebra
dc.identifierhttps://arxiv.org/abs/math/0611305
dc.identifierhttp://arxiv.org/abs/math/0611305
dc.identifierJournal of Algebra 321 (2009) 1443--1452
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/216536
dc.subjectCommutative Algebra
dc.subjectNumber Theory
dc.subject13C20; 13F05; 11R65; 11R29; 20M14
dc.titleConstituent Groups of Clifford Semigroups Arising from t-Closure
dc.typetext

Files

Collections

arXiv