E-反演半群胚的群胚同余  

Groupoid Congruences on E-inversive Semigroupoids

作　　者：兰丙申[1] 喻秉钧[2] 李海龙[1] 

机构地区：[1]成都理工大学工程技术学院基础部,四川乐山614007 [2]四川师范大学数学与软件科学学院,四川成都610066

出　　处：《四川师范大学学报（自然科学版）》2009年第5期564-568,共5页Journal of Sichuan Normal University（Natural Science）

基　　金：国家自然科学基金(10871161)资助项目

摘　　要：建立E-反演半群胚C的正规子半群胚格和C的群胚同余格之间的格同构,并将此应用到E-反演半群S上,得到S的正规子半群格和群同余格的刻画.给出E-反演半群胚C的最小自共轭全子半群胚U(C)的构造及其与最小正规子半群胚D(C)的关系,证明了U(C)的酉性与C的最小群胚同余σ的纯性等价.In this paper,the lattice isomorphism between the lattice of normal subsemigroupoids of an E-inversive semigroupoid C and the lattice of groupoid congruences of C. The result is applied to an E-inversive semigroup S,a characterization of the lattice of normal subsemigroups and that of group congruences of S. Moreover,the structure of the least self-conjugate and full subsemigroupoid （C） of an E-inversive semigroupoid C is given,the relation of it and the least normal subsemigroupoid D（C） is discussed. It is proved that the unitarity of （C） is equivalent to the purity of the least groupoid congruence σ of C.

关 键 词：半群胚 E-反演半群胚 正规子半群胚 群胚同余 

分 类 号：O152.7[理学—数学]