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.
出处
《数学进展》
CSCD
北大核心
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)
