Γ-环的回顾与展望

The Retrospect and Prospect for the Γ-rings

中文摘要:

      Γ-环是本世纪六十年代由Nobusawa首导,经Barnes改进的一种新的代数系统,它是结合环的拓广,然而它和结合环又是十分接近的。本文概述了Γ-环的发展,简述了由它衍生出来的一些代数系统,主要部分在于对今后Γ-环的研究提出三点看法:选取富有Γ-环特色的课题;搞清和其它代数系统的关系;注重好的例子。

英文摘要:

      Γ-ring appeared in the middle 1960's as a new algebraic system. This con cept was first introduced by Nobasawa. Later Barnes gave a more current defini tion than Nobusawa did. Γ-ring class is more general than associative ring class. However the two are quite close. In this paper we give a sarvey on the deve lopment of Γ-rings and brief narration on some algebraic systems that are derived from Γ-rings. As the main body I make three suggestions tor furture research of Γ-ring theory.1 . Select the subjects with the characteristies of Γ-rings.2.Make clear the relation between Γ-rings and other algebraic systems. 3. Pay great attention to good examples.