具有左中心幂等元的完美l-ample半群
Perfect l-ample semigroups with left central idempotents
孙燕 1王旭东 1任学明1
作者信息
- 1. 西安建筑科技大学理学院,陕西西安710055
- 折叠
摘要
定义完美l-ample半群,并研究具有左中心幂等元的完美l-ample半群的半格分解.利用半格分解,证明了半群S为具有左中心幂等元的完美l-ample半群,当且仅当S为直积Mα×∧α的强半格,其中Mα是右可消幂幺半群,∧α是右零带.这一结果为具有左中心幂等元的完美l-ample半群结构的建立奠定了基础.
Abstract
The concept of perfect l-ample semigroups is introduced and the semilattice decomposition of perfect l-ample semigroups with left central idempotents is studied.By using this semilattice decomposition,it is proved that a semigroup S is a perfect l-ample semigroup with left central idempotents if and only if it is a strong semilattice of a direct product Mα × ∧α,where Mα is a right cancellative unipotent monoid and ∧α is a right zero band.This result is the basis that the structure theorem of perfect l-ample semigroups with left central idempotents can be established.
关键词
完美l-ample半群/左中心幂等元/强半格/[*,～]-格林关系Key words
perfect l-ample semigroup/left central idempotent/strong semilattice/[* , ～]-Green's relation引用本文复制引用
基金项目
国家自然科学基金资助项目(11471255)
国家自然科学基金资助项目(11326204)
陕西省教育厅专项科研计划基金资助项目(14JK1412)
校青年基金资助项目(QN1134)
出版年
2015
NETL
NSTL
维普
万方数据