作 者: ;
机构地区: 华南师范大学南海校区学院数学系
出 处: 《数学杂志》 2005年第6期618-624,共7页
摘 要: 本文研究有Clifford断面的纯正半群.为了获得主要的结构定理,证明了纯正半群有群断面当且仅当它是矩形群;利用半格和矩形带,建立了有Clifford断面的纯正半群的结构. This paper explores the construction of orthodox semigroups with a Clifford transversal. To obtain the main result,it is proved first that an orthodox semigroup has a group transversal if and only if it is a rectangular group. Next,by using a semilattice and rectangular groups, at a construction of orthodox semigroups with a Clifford transversal is built.