| 由e-分量元素性质确定的分次特殊根的分次模刻划 |
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| 引用本文： | 任艳丽,艾益民.由e-分量元素性质确定的分次特殊根的分次模刻划[J].辽宁师范大学学报(自然科学版),2000,23(2):124-125. |
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| 作者姓名： | 任艳丽 艾益民 |
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| 作者单位： | 1. 鞍山师范学院,数学系,辽宁,鞍山,114005
2. 鞍山钢铁学院,高职学院,辽宁,鞍山,114000 |
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| 基金项目： | 辽宁省教委自然科学研究基金项目!( 982 742 1190 ) |
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| 摘 要： | 有相当多的分次根是由分次环的ｅ－分量元素性质所确定的，如分次Ｊａｃｏｂｓｏｎ根ＪＧ（Ａ）是由Ａｅ元素的左拟正则性确定的，将在一般Ｍｏｎｏｉｄ－分次环范畴中，对由ｅ－分量元素性质确定的一类分次特殊根给出了统一的分次模刻划。
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| 关 键 词： | 分次特殊根 分次模 分次环 e－分量元素性质 |
| 修稿时间： | 1999-07-20 |
The Graded Module Characterization for the Graded Special Radicals Determined by Element Properties of e-Component |
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| REN Yan-li,AI Yi-min.The Graded Module Characterization for the Graded Special Radicals Determined by Element Properties of e-Component[J].Journal of Liaoning Normal University(Natural Science Edition),2000,23(2):124-125. |
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| Authors: | REN Yan-li AI Yi-min |
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| Abstract: | Many graded radicals are determined by properties of the elements of e-component.For example,graded Ja cobson radicals J G(A) are d etermined by the left quasi-regular properties of the elements of A e. The uni form graded module characterization for a kind of graded special radical determined by element propeoties of e-componant is r epresented in general Monoid-graded ring categories. |
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| Keywords: | Monoid-graded ring P-element graded special radical graded module |
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