完全wrpp半群的性质及特征  

Property and Characterization of a Perfect Wrpp Semigroup

作　　者：任秀[1] 李颖[1] 

机构地区：[1]大庆师范学院

出　　处：《哈尔滨师范大学自然科学学报》2013年第3期29-31,共3页Natural Science Journal of Harbin Normal University

基　　金：大庆师范学院科学研究基金项目(10ZR07)

摘　　要：在深入研究完全rpp半群和C-wrpp半群的基础上,定义了局部C-wrpp半群和局部C-wrpp-E-半群,得到了完全wrpp半群的一些重要性质及特征,即在同余关系η下,完全wrpp半群S的商半群S/η是C-wrpp半群;S是完全wrpp半群当且仅当S是局部C-wrpp-E-半群.The concept of a perfect wrpp semigroup based on perfect rpp semigroups and C - wrpp semigroups, the concepts of C - wrpp semigroups and partial C - wrpp semigroups and partial C - wrpp - E - semigroups are introduced. Then some properties and characterizations for perfect wrpp semigroups are obtained. The semigroup S/η which S is a perfect wrpp semigroup and ~/is a congruence are got. And S is a perfect wrpp semigroup S if and only if S is C - wrpp - E - semigroups.

关 键 词：完全wrpp半群 Λ**-关系 C-wrpp半群 局部C-wrpp半群 局部C-wrpp-E-半群 

分 类 号：O152.7[理学—数学]