弱拟充足半群  

Weakly Quasi-adequate Semigroups

作　　者：高振林[1] 邢晓丹[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》2012年第3期272-276,共5页Journal of University of Shanghai For Science and Technology

摘　　要：引进弱拟充足半群的概念,这是介于富足半群类与充足半群类之间的一类半群.讨论无零元且有乘充足断面的弱拟充足半群的性质,得到有乘充足断面的富足半群是弱拟充足半群的等价条件.The concept of weakly quasi-adequate semigroups was introducted. It is a kind of semi- goup intervening between abundant semigroup and adequate semigroup. The properties and struc- ture of such a semigroup without zero with a multiplicative adequate transversal were investigated. It is concluded that the condition of equivalence is that the abundant semigroup with a multiplicative adequate transversal is the weakly quasi-adequate semigroups.

关 键 词：富足半群 完全单半群 弱拟充足半群 (乘)充足断面 

分 类 号：O152.7[理学—数学]