严格π-正则半群上的最小群同余  

The minimum group congruence on strictly π-regular semigroups

作　　者：宫春梅[1] 任学明[1] 

机构地区：[1]西安建筑科技大学理学院,陕西西安710055

出　　处：《西安建筑科技大学学报（自然科学版）》2005年第1期146-148,共3页Journal of Xi'an University of Architecture & Technology(Natural Science Edition)

摘　　要：π-则半群S称为严格π-正则半群,如果其正则元集为S的理想且为S的完全正则子半群.喻秉钧曾给出了严格π-正则半群的代数结构,这里则利用严格π-正则半群S的满的、自共轭的子半群.定义了严格π-正则半群上的群同余,并给出了该类半群上的最小群同余的刻画.A π-regular semigroup S is called strictly π-regular, if the set of regular elements of S is an ideal of S and is completely regular subsemigroup . A structure of a strictly π-regular semigroup has been given by Yu Bing-jun in. A group congruence on strictly π-regular semigroups is defined by a full, self-conjugate subsemigroup of the strictly π-regular semigroup.S. in this paper, and the minimum group congruence on the semigroups is obtained.

关 键 词：严格π-正则半群 Π-正则 群同余 最小群同余 

分 类 号：O152.7[理学—数学]