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.
出处
《江西师范大学学报（自然科学版）》
CAS
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).
