满足正则性条件的局部适当半群(英文)  

Locally Adequate Semigroups Satisfying the Regularity Condition

作　　者：郭小江[1] 彭智[2] 吴爱军[3] 

机构地区：[1]江西师范大学数学与信息科学学院,江西南昌330027 [2]宜春学院数学系,江西宜春336000 [3]南昌大学数学系,江西南昌330047

出　　处：《江西师范大学学报（自然科学版）》2004年第5期411-417,共7页Journal of Jiangxi Normal University(Natural Science Edition)

基　　金：江西自然科学基金资助项目(0311038).

摘　　要：研究满足正则性条件的局部适当半群.证明了:一个富足半群是满足正则性条件的局部适当半群,当且仅当它是某个关于元素为正则元的sandwich矩阵的富足Reesmatrix半群的localE-同构像.这推广了MVLawson和DBMcAlister等人的结果.The aim of this paper is to study locally adequate semigroups with the regularity condition. We prove that an abundant semigroup is a locally adequate semigroup with the regularity condition if and only if it is a local E-isomorphic image of an abundant Rees matrix semigroup over an adequate semigroup, each entry of the sandwich matrix of which is regular. This extends the results of M V Lawson and D B McAlister.

关 键 词：正则性条件 富足半群 正则元 H矩阵 同构 证明 推广 局部 元素 研究 

分 类 号：N941[自然科学总论—系统科学] O152.7[理学—数学]