Γ─纯整半群  

Γ-Orthodox Semigroups

作　　者：赵宪钟[1] 

机构地区：[1]西北大学数学系

出　　处：《工程数学学报》1996年第1期93-96,共4页Chinese Journal of Engineering Mathematics

基　　金：国家自然科学基金;陕西省教委基金

摘　　要：印度数学家Ｍ．Ｋ．Ｓｅｎ和Ｎ．Ｋ．Ｓａｈａ在１９８６年给出了Γ－半群的概念和讨论了Γ－半群的若干性质。本文引入了Γ－正则半群和Γ－纯整半群的概念。并讨论了这两种重要的Γ－半群类的若干特性。最后通过三个有趣的实例说明了纯整Γ－半群类和Γ－纯整半群类是互不包含但交非空的两个Γ－半群类。The notion of Γ-semigroups has been introduced by M.K.Sen and N.K.Saha in the year 1986,they also introduced the concept of orthodox Γ-semigroup in 1990.In this paper we introduce Γ-orthodox Semigroups and Γ-regular semigroups and present some basic properties of this Γ-semigroups. Finally,we illustrate that the classes of Γ-orthodox semigroups and orthodox Γ-semigroups are not contained each other and the intersection of this two classes in not empty by three examples.

关 键 词：半群 Г-半群 纯整Г-半群 幂等元 

分 类 号：O152.7[理学—数学]