摘要
一个有限半群是满足左正则性条件的IC富足半群当且仅当它是一个幂等元形成左正则带的纯整超富足半群,但满足左正则性条件的无限IC富足半群不都是幂等元形成左正则带的纯整超富足半群.
A finite semigroup is an IC abundant semigroup satisfying the left rgularity condition if and only if it is an orthodox superabundant semigroup whose idempotents form a left regular band. Unfortunately, there surely exists an infinite IC abundant semigroups satisfying the left rgularity condition which is not an orthodox superabundant semigroup.
出处
《湘潭大学自然科学学报》
CAS
CSCD
北大核心
2007年第1期1-4,共4页
Natural Science Journal of Xiangtan University
基金
湖南省自然科学基金资助项目(04JJ4001)
关键词
IC富足半群
左正则性条件
左正则带
超富足半群
主左＊1-理想降链条件
IC abundant semigroup
left rgularity condition
left regular band
orthodox superabundant semigroup
descending condition of principle left ＊1 - ideal
