Γ─纯整半群

Γ-Orthodox Semigroups

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.