| Γ—环的广义诣零根及RΓ—模刻划 |
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| 引用本文： | 洪平洲.Γ—环的广义诣零根及RΓ—模刻划[J].赣南师范学院学报,1990(Z1). |
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| 作者姓名： | 洪平洲 |
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| 作者单位： | 赣南师范学院数学系 |
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| 摘 要： | 本文在结合Γ—环中引进了广义诣零根Ng的概念,证明了Ng是个遗传根,得到了Ng—半单Γ—环的结构定理,并用RΓ—模对广义诣零根Ng进行了模刻划。本文是一般结合环根理论的推广,结合环中某些熟知结果已成为本文的特款。
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| 关 键 词： | Γ—环 完全素理想 完全素Γ—环 广义诣零根 Ng—半单Γ—环 完全素RΓ—模 |
ON THE GENERALIZATION OF NIL RADICAL OF г-RINGS AND ITS CHARACTERIZATION OF R-MODULES |
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| Hong Pingzhou.ON THE GENERALIZATION OF NIL RADICAL OF г-RINGS AND ITS CHARACTERIZATION OF R-MODULES[J].Journal of Gannan Teachers' College(Social Science(2)),1990(Z1). |
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| Authors: | Hong Pingzhou |
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| Affiliation: | Mathematics Department |
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| Abstract: | The concept of generalized nil radical Ng is introduced into associative г-rings in this article. With Ng being proved to be a hereditary radical, the structurs theorem of Ng-semisimple г-rings is affirmed, and by means of Rг-modules, the generalized nil radical Ng is characterized. The article represents a development of the general associative ring radical theory; it features some of the well-known results of associative rings. |
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| Keywords: | г-ring completely prime ideal completely prime г-ring generalized nil radical Ng-semisimple г-ring completely prime Rг-module |
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