| 构造G-morphic环 |
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| 引用本文： | 陈超,储茂权.构造G-morphic环[J].安徽师范大学学报(自然科学版),2010,33(5):418-420. |
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| 作者姓名： | 陈超 储茂权 |
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| 作者单位： | 安徽师范大学,数学计算机科学学院,安徽,芜湖,241000;安徽师范大学,数学计算机科学学院,安徽,芜湖,241000 |
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| 基金项目： | Colleges and University Natural Science Foundation of Anhui Province;Natural Science Foundation of Deucation Department of Anhui Province |
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| 摘 要： | 若环R中的每个元a都满足R/Ran≌l(an),其中l(an)是an在R中左零化子,则环R叫做左G-morphic环.C是环D的子环,且RD,C]={(d1,…,dt,c,c,…)|di∈D,c∈C,t≥1};本文主要给出了RD,C]是左G-morphic环的一个充要条件;还给出了左D,C]G-morphic元的定义和它的一些性质.
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| 关 键 词： | G-morphic元 G-morphic环 左[D C]G-morphic元 |
Constructing G-morphic Ring |
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| CHEN Chao,CHU Mao-quan.Constructing G-morphic Ring[J].Journal of Anhui Normal University(Natural Science Edition),2010,33(5):418-420. |
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| Authors: | CHEN Chao CHU Mao-quan |
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| Abstract: | A Ring R is called left G-morphic, if for every a∈R, R/Ran≌l(an) where l(an) denotes the left annihilator of an in R. For a subring C of a ring D, let RD,C]={(d1,…,dt,c,c,…)|di∈D,c∈C,t≥1}. A sufficient and necessary condition is obtained for RD,C] to be a left G-morphic ring. An element x∈C is called left D,C] G-morphic if there exists y∈C such that lC(xn)=Cy, lC(y)=Cxn, lD(xn)=Dy, lD(y)=Dxn. Some properties of left D,C] G-morphic element are given. |
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| Keywords: | G-morphic element G-morphic ring left [D C] G-morphic element |
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