四川师范大学学报(自然科学版)2012,Vol.35Issue(6):781-783,3.DOI:10.3969/j.issn.1001-8395.2012.06.013
关于(G)-反演半群上的强(G)-同余格的一个注记
A Note on the Lattice of Strongly (G)-Congruences on a (G)-Inversive Semigroup
摘要
Abstract
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 Pcongruences on a Pinversive semigroup is given. Based on this characterization , it is proved that the lattice of strongly Pcongruences on a .P-inversive semigroup is isomorphic to a sublattice of the lattice of FPP-congruences of some P-regular semigroup.关键词
(G)-反演半群/强(G)-同余/强(G)-同余格Key words
P-inversive semigroup/ strongly P-congruence/ lattice of strongly P-congruences分类
数理科学引用本文复制引用
王守峰..关于(G)-反演半群上的强(G)-同余格的一个注记[J].四川师范大学学报(自然科学版),2012,35(6):781-783,3.基金项目
云南省教育厅科研基金(09Y0141)资助项目 (09Y0141)