摘要
本文得到具有左单恰当断面的富足半群的进一步刻画.推广并丰富了Blyth和AlmeidaSantos于1996年得到的关于左单逆断面及两位作者分别于2008年与2010年得到的关于恰当断面的相关结果.建立了具有左单S-恰当断面的富足半群的结构.
Some further characterizations for abundant semigroups with left simplistic adequate transversals are obtained. The related results of Blyth and Almeida Santos on left simplistic inverse transversals obtained in 1996 and the authors on adequate transversals ob- tained in 2008 and 2010 respectively are generalized and amplified. The structure of abundant semigroups with left simplistic S-adequate transversals is also established.
出处
《数学进展》
CSCD
北大核心
2012年第5期554-564,共11页
Advances in Mathematics（China）
基金
supported by the Mathematical Tianyuan Foundation of China(No.11126186)
the Shandong Provincial NSF(No.ZR2011AM013,No.ZR2010AL010)
the Doctoral Scientific Research Start Foundation of Qufu Normal University,and the Youth Foundation of Qufu Normal University
关键词
富足半群
恰当断面
格林＊-关系
拟恰当半群
abundant semigroup
adequate transversal
Green＇s ,-relations
quasi-adequate semigroup
