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子环扩张的G-Morphic性

The G-morphic Property of Subring-Extension
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摘要 主要研究了环C∝R的G-morphic性,证明了如下结果:(1)环C∝R是左G-morphic的,则C和R也是左G-morphic的.(2)设R是环,则a∈R是左G-morphic的(a,0)∈R∝R是左G-morphic的(0,a)∈R∝R是左G-morphic的. In this paper, the G-morphie property of the subring-extension C oc R is studied. The following results are obtained: (1) if C ∝ R is left G-morphic, then both C andR are left G-morphie. (2) For a ring R,an element a in R is left G-morphic (=) (a ,0) in R ∝ R is left G-morphic (=) (0, a ) in R ∝ R is left G-morphic.
出处 《安徽师范大学学报(自然科学版)》 CAS 北大核心 2014年第1期30-32,38,共4页 Journal of Anhui Normal University(Natural Science)
关键词 子环的扩张 左G-morphic环 Π-正则环 subring-extension left G-morphic ring π-regular ring
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