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关于亚直接不可约完全左对称Г-环
引用本文:樊复生.关于亚直接不可约完全左对称Г-环[J].数学研究及应用,1991,11(1):28-30.
作者姓名:樊复生
作者单位:东北工学院数学系
摘    要:A left ideal L of a Г-ring M is called left symmetric if aabβb∈L implies aacβb∈L, where a,b, c∈ M, a ,β∈Γ. A Γ-ring M is called to be a Γ-division ring if it has the left unity, and if left oprator ring R is a division ring.In this paper, the following results are pvoved:Suppose that every left ideal of a Γ-ring M is left symmetiic.If A is subdirectly irreducible with more than one element and with no nonzero nilpotents then it is a Γ-division ring.If M is subdirectly irreducible and if D≠M then M/D is a Γ-division ring where D=(a∈M|aΓb=0,0≠b∈M).

关 键 词:Г-环  左对称  理想  Г-域
收稿时间:1989/2/23 0:00:00

On Subdirectly Irreducible Completely Left Symmetric F-rings
Fan Fusheng.On Subdirectly Irreducible Completely Left Symmetric F-rings[J].Journal of Mathematical Research with Applications,1991,11(1):28-30.
Authors:Fan Fusheng
Institution:Dept. Math.; Northeast University of Technology; Shenyang
Abstract:
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