摘要
印度数学家Ｍ．Ｋ．Ｓｅｎ和Ｍ．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合的及交是非空的．
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 intloduce Γ-orthodox Semigroups and Γ-regular semigroups and present some basic properties or 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 is not empty by three examples.
出处
《纯粹数学与应用数学》
CSCD
1994年第1期116-120,共5页
Pure and Applied Mathematics
