摘要
全子半群定义为含有所有幂等元的子半群.半群称为▽_(fs)-半群,如果它的所有全子半群关于集合包含关系构成一个链.本文研究富足▽_(fs)-半群,得到这类半群的若干特征,特别地,建立了完全0-单▽_(fs)-半群和满足正则性条件的本原富足▽_(fs)-半群的结构.
Full subsemigroups are defined as subsemigroups containing all idempo- tents. A semigroup is said to be a △fs-semigroup if its full subsemigroups form a chain under inclusion. The aim of this paper is to investigate abundant △fs-semigroups. Some characterizations of such semigroups are obtained. In particular, the structures of com- pletely O-simple △fs-semigroups and primitive abundant △fs-semigroups satisfying the regularity condition are established.
出处
《数学学报（中文版）》
CSCD
北大核心
2017年第3期439-450,共12页
Acta Mathematica Sinica：Chinese Series
基金
国家自然科学基金(11361027
11661042)
江西省自然科学基金(20161BAB201018)
江西省教育厅科研资助项目(GJJ14251)
江西省研究生创新基金资助项目(YC2014-S160)
关键词
富足半群
全子半群
链
正则性条件
abundant semigroup
full subsemigroup
chain
the regularity condition
