| G-集分次模的分次自同态环 |
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| 引用本文： | 孙建华,王卿文.G-集分次模的分次自同态环[J].数学学报,1999,42(4):659-664. |
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| 作者姓名： | 孙建华 王卿文 |
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| 作者单位： | 1. 扬州大学理学院数学系,扬州,225002
2. 山东昌潍师专数学系,潍坊,261043 |
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| 基金项目： | 国家自然科学基金，扬州大学基金 |
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| 摘 要： | 设G是任意群，本文给出了G-集G／H-分次模的分次自同态环的刻画．特别地，对我们证得N（H）／H-分次自同态环END（G／H，R）－gr（M）等于分次环ENDR（M）N（H）／H.
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| 关 键 词： | G-集分次模 分次自同态环 弱同构 |
| 修稿时间： | :1997-09-1 |
Graded Endomorphism Ring of G-set Graded Module |
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| Sun Jianhua,Wang Qingwen.Graded Endomorphism Ring of G-set Graded Module[J].Acta Mathematica Sinica,1999,42(4):659-664. |
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| Authors: | Sun Jianhua Wang Qingwen |
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| Institution: | Sun Jianhua(Department of Mathematics, College of Science Yangzhou University, Yangzhou 225002,P. R.China)(E-mail: moth@ yzu.edu.cn)Wang Qingwen(Department of Mathematics, Changwei Teachers College, Weifang 261043, P. R. China) |
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| Abstract: | Let G be a group, H G. In this paper we shall give the characteristic of thegraded endomorphism ring with respect to a G-set G/H graded module. In particular,for a G-graded R-module M we obtain that the N(H)/H-graded endomorphism ringEND(G/H,R)-gr(M) equals the graded ring ENDR(M)N(H)/H. |
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| Keywords: | G-set graded module Graded endomorphism ring Weak isomorphism |
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