| 分次根的元素刻划(英文) |
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| 引用本文： | 王尧,任艳丽.分次根的元素刻划(英文)[J].吉首大学学报(自然科学版),1999,20(3):41-45. |
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| 作者姓名： | 王尧 任艳丽 |
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| 作者单位： | 鞍山师范学院数学系,辽宁鞍山 |
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| 摘 要： | 在一般Monoid—分次环 (未必有 1)范畴中 ,给出了分次Bear根 ,分次Koethe根 ,分次Levitizki根和分次Brown -McCoy -根的元素特性 ,并分别给出了对应于这几个根的分次半单环的结构定理 ,指出了分次环A = x∈MAx 的分次根和结合环Ae 的根之间的密切关系。
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| 关 键 词： | 分次环 分次根 分次半单环 亚直和 |
The Characterization of Graded Radicals by Meas of Elemets |
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| WNAG Yao,REN Yan-li.The Characterization of Graded Radicals by Meas of Elemets[J].Journal of Jishou University(Natural Science Edition),1999,20(3):41-45. |
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| Authors: | WNAG Yao REN Yan-li |
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| Abstract: | In this note ,we characterize the graded Bear radical,graded koethe radical,graded Levitizki radical and graded Brown-McCoy radical in the category of associative monoid-graded rings (not necessarily with 1) and grade-preserving ring homomorphisms,with element properties.Meawhile,we give the structure theorems of graded Semisimple graded rings corresponding these graded radicals and show the radical of A and A e are related closely. |
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| Keywords: | graded ring graded radical graded semisimple ring subdirect sum |
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