有左单恰当断面的富足半群  

Abundant Semigroups With Left Simplistic Adequate Transversals

作　　者：王蓓[1] 孔祥军[2] 

机构地区：[1]曲阜师范大学计算机科学学院,曲阜山东273165 [2]曲阜师范大学数学科学学院,曲阜山东273165

出　　处：《数学进展》2010年第5期590-598,共9页Advances in Mathematics（China）

基　　金：山东省自然科学基金(No.Y2005A11)

摘　　要：引入并研究左单恰当断面.在I是带的假设下,得到恰当断面是左单的若干等价条件.给出有恰当断面的富足半群是L~＊-幂幺的刻画.在富足半群满足正则性条件的假设下,得到有恰当断面的富足半群是局部L~＊-幂幺的若干等价条件.Left simplistic adequate transversals are introduced and investigated in this paper. Under the assumption that / is a band,some equivalent conditions for an adequate transversal to be left simplistic are obtained.An abundant semigroup with an adequate transversal to be L~＊-unipotent are characterized.Under the assumption that the abundant semigroup satisfies the regularity condition,some equivalent conditions for an abundant semigroup with an adequate transversal to be locallyL~＊-unipotent are obtained.

关 键 词：富足半群 恰当断面 Green's ＊-关系 

分 类 号：O152.7[理学—数学]