| On Graded Distributive Modules |
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| 作者单位： | Department of Mathematics，Fujian Normal University，Fuzhou，350007 |
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| 摘 要： | ＯｎＧｒａｄｅｄＤｉｓｔｒｉｂｕｔｉｖｅＭｏｄｕｌｅｓ￥ＣｈｅｎＱｉｎｇｈｕａ（陈清华）（ＤｅｐａｒｔｍｅｎｔｏｆＭａｔｈｅｍａｔｉｃｓ，ＦｕｊｉａｎＮｏｒｍａｌＵｎｉｖｅｒｓｉｔｙ，Ｆｕｚｈｏｕ，３５０００７）Ａｂｓｔｒａｃｔ：Ｉｎｔｈｉｓｐａｐｅ...
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On Graded Distributive Modules |
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| Authors: | Chen Qinghua |
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| Abstract: | In this paper, we introduce the concept of a graded distributive module(ring) and characterize graded distributive modules in in terms of the proerties of the homomorphisms of graded modules and graded principal ideals, and the graded socle of their quotients, We then show another maintheorem of this paper: a strogly grabed ring is a graded distributive ring iff Re is a distributive ring. |
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| Keywords: | Graded Distributive Module (Ring) Gr-square -free gr-socle GrGrunrelated |
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