一种广义富足半群  

On generalized abundant semigroups

作　　者：高振林[1] 田丽[1] 

机构地区：[1]上海理工大学理学院,上海200093

出　　处：《上海理工大学学报》2011年第2期198-204,共7页Journal of University of Shanghai For Science and Technology

摘　　要：在半群S上引进新的Green*-关系LG*和RG*,它们虽不同于Green*-关系L*和R*,但与之有联系,且有L*■LG*,R*■RG*.引进另一种广义富足(或充足)半群即G-富足(或充足)半群,在G-富足半群上,引进G-充足断面.给出了有G-充足断面的G-富足半群的性质和结构.New Green＇s＊-relations L＊G and R＊G were introduced on a semigroup S.Though they are different from the old Green＇s＊-relations L＊ and R＊,yet are related to each other by Green＇s relation on some over semigroups and it holds that L＊■LG＊ and R＊■RG＊.Another class of semigroups,the G-abundant（or adequate） semigroups and their G-adequate transversals were defined and the properties and structures of G-abundant semigroups with some G-adequate transversals were discussed.

关 键 词：G-富足半群 G-充足断面 G-Green＊-关系 

分 类 号：O152.7[理学—数学]