机构地区: 华南师范大学数学科学学院
出 处: 《数学进展》 2009年第5期616-620,共5页
摘 要: 本文刻画了一种逆半群幂等分离扩张.首先用Clifford半群和基本逆半群建立了Y-积,然后证明了每个Y-积是一个逆半群,而且每个逆半群可以用这种方式构造. In this paper,we describe a type of idempotent-separating extensions of inverse semigroups.We first establish the Y-product of a Clifford semigroup by a fundamental inverse semigroup.And then we prove that every the Y-product is an inverse semigroup and every inverse semigroup is isomorphic to a Y-product.