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| 满足正则性条件的局部适当半群 | |
| 引用本文： | 郭小江,彭智,吴爱军.满足正则性条件的局部适当半群[J].江西师范大学学报(自然科学版),2004,28(5):411-417. |
| 作者姓名： | 郭小江 彭智 吴爱军 |
| 作者单位： | 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 |
| 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Rcesmatrix半群的local E-同构像．这推广了M V Lawson和D B McAlister等人的结果。 |
| 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 |
Locally Adequate Semigroups Satisfying the Regularity Condition |
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| Abstract.Locally Adequate Semigroups Satisfying the Regularity Condition[J].Journal of Jiangxi Normal University (Natural Sciences Edition),2004,28(5):411-417. | |
| Authors: | Abstract |
| Abstract: | 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. |
| Keywords: | abundant semigroup adequate semigroup local E-isomorphism abundant Rees matrix semigroup |
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