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半群的半直积及其同余
THE SEMIDIRECT PRODUCT OF MONOIDS AND ITS CONGRUENCES
【摘要】 给出了两个幺半群的半直积是Cliford半群的充要条件及其结构.并讨论了逆半群半直积的Green关系、最小群同余和极大幂等元分离同余.
【Abstract】 Necessary and sufficient conditions are given for the semidirect product of two monoids to be a Clifford monoid and the structure of the semidirect product is presented. Also the Greens Relations, the smallest group congruence and the maximal idempotent separating congruence on the semidirect product are discussed.
- 【文献出处】 纯粹数学与应用数学 ,PURE AND APPLIED MATHEMATICS , 编辑部邮箱 ,1998年03期
- 【分类号】O152.7
- 【被引频次】9
- 【下载频次】73