| 右n-C2环 |
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| 引用本文： | 操晓娟,贲延付. 右n-C2环[J]. 安徽大学学报(自然科学版), 2008, 32(3) |
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| 作者姓名： | 操晓娟 贲延付 |
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| 作者单位： | 安徽大学数学与计算科学学院,安徽合肥,230039;安徽大学数学与计算科学学院,安徽合肥,230039 |
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| 基金项目： | 安徽大学研究生创新计划基金 |
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| 摘 要： | 给了右n-C2环的概念.证明了如下结果:(1)环R是n-C2环当且仅当n∈Z+,对于a∈R,若r(an)=r(e),其中e2=e∈R,则e∈Ran;(2)若R是右n-C2环,则Zr(R)J(R);(3)若R是一个环,则下列条件等价:(i)R是n-正则环;(ii)R是右n-C2环和右n-Gpp环.
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| 关 键 词： | n-C2环 n-正则环 p-内射环 |
On right n-C2 rings |
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| CAO Xiao-juan,BEN Yan-fu. On right n-C2 rings[J]. Journal of Anhui University(Natural Sciences), 2008, 32(3) |
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| Authors: | CAO Xiao-juan BEN Yan-fu |
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| Abstract: | The concept of right n-C2 rings was introduced in this note.The following result were shown:(1)R was right n-C2 rings if and only if there existed a positive integer n,for every a∈R,and if r(an)=r(e),where e2=e∈R,then e∈Ran.(2) If R is right n-C2 rings,then Zr(R)J(R).(3) For a ring R the following are equivalent:(i) R is n-regular rings(ii) R is right n-C2 rings and right n-Gpp rings. |
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| Keywords: | right n-C2 rings n-regular rings p-injective rings |
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