云南民族大学学报（自然科学版）2008，Vol.17Issue(1)：1-11,11.
由其对应丛确定的正则半群
On Regular Semigroups Determined by Their Bundles of Correspondences
陈建飞 1何天荣1
作者信息
- 1. 云南民族大学,数学与计算机科学学院,云南,昆明,650031
- 折叠
摘要
Abstract
Given a semigroup S, the set of all subsemigroupe of S × S ( including the empty one), with the operation of the binary relation composition (o) and natural involution ( - 1 ) and the relation of set-theoretic inclusion(∈), forms the bundle of correspondences of S, denoted by(C(S) ,o, -1, ∈ ), or shortly by C(S). S is said to be C-determined if for any semigroup T such that C(S)≌C( T), then S≌T or S≌TOPP. the C-determinability of fundamental inverse semigroups and a special class of fundamental orthodox semigroups have been investigated by Goberstein S M. The main purpose of the present paper is to show that fundamental regular semigroups which are not periodic unions of groups are C-determined. These semigroups form a vast subclass of fundamental regular semigroups. The main results obtained in the above mentioned articles are then deduced easily from this result.关键词
半群的对应丛/双序集/C-同构/基本正则半群Key words
bundles of correspondences/biovdered set/C-isomorphism/fundamental regular semigroup分类
数理科学引用本文复制引用
陈建飞,何天荣..由其对应丛确定的正则半群[J].云南民族大学学报（自然科学版）,2008,17(1):1-11,11.
