关于P-反演半群上的强P-同余格的一个注记  

A Note on the Lattice of Strongly P-Congruences on a P-Inversive Semigroup

作　　者：王守峰[1] 

机构地区：[1]云南师范大学数学学院,云南昆明650092

出　　处：《四川师范大学学报（自然科学版）》2012年第6期781-783,共3页Journal of Sichuan Normal University（Natural Science）

基　　金：云南省教育厅科研基金(09Y0141)资助项目

摘　　要：E-反演半群是一类重要的广义正则半群.因此,若干正则半群的经典结果可以推广至E-反演半群.针对一类特殊E-反演半群——P-反演半群上的同余展开研究,给出P-反演半群上的强P-同余的一个新刻画,从而证明了每个P-反演半群的强P-同余格与某P-正则半群的VP-同余格的一个子格同构.E-inversive semigroups are an important class of generalized regular semigroups.Many classical results of regular semigroups can be generalized to E-inversive semigroups.This paper is devoted to the congruences of a class of E-inversive semigroups called P-inversive semigroups.A new characterization of strongly P-congruences on a P-inversive semigroup is given.Based on this characterization,it is proved that the lattice of strongly P-congruences on a P-inversive semigroup is isomorphic to a sublattice of the lattice of VP-congruences of some P-regular semigroup.

关 键 词：P-反演半群 强P-同余 强P-同余格 

分 类 号：O152.7[理学—数学]