数学杂志2012，Vol.32Issue(1)：135-139,5.
具有中心幂等元的(L)-弱正则半群
ON WEAKLY(L)-REGULAR SEMIGROUPS WITH CENTRAL IDEMPOTENTS
摘要
Abstract
Weakly L-regular semigroups with central idempotents are introduced and their algebraic structures are studied in this paper. By using a right congruence L+ and a left congruence R+ on a semigroup S, respectively, we show that a semigroup S is a weakly L-regular semigroup with central idempotents if and only if S is a strong semilattice of H~left cancellative monoids, which generalizes the corresponding results of Clifford semigroups in the class of regular semigroups.关键词
(L)-弱正则半群/中心幂等元/H-左可消幺半群Key words
weakly L-regular semigroups/ central idempotents/ H-left cancellative monoids分类
数理科学引用本文复制引用
袁莹,任学明,宫春梅..具有中心幂等元的(L)-弱正则半群[J].数学杂志,2012,32(1):135-139,5.基金项目
国家自然科学基金(10971160) （10971160）
西安建筑科技大学青年科技基金(QN1136). （QN1136）
