| Zip模(英文) |
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| 引用本文： | 张翠萍,陈建龙.Zip模(英文)[J].东北数学,2008,24(3):233-249. |
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| 作者姓名： | 张翠萍 陈建龙 |
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| 作者单位： | Department of Mathematics;Southeast University;Northwest Normal University; |
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| 基金项目： | 国家自然科学基金
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The Specialized Research Fund
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Doctoral Program of Higher Education
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| 摘 要： | A ring R is called right zip provided that if the annihilator τR（X） of a subset X of R is zero, then τR（Y） = 0 for some finite subset Y C X. Such rings have been studied in literature. For a right R-module M, we introduce the notion of a zip module, which is a generalization of the right zip ring. A number of properties of this sort of modules are established, and the equivalent conditions of the right zip ring R are given. Moreover, the zip properties of matrices and polynomials over a module M are studied.
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| 关 键 词： | Zip模 抽象代数 数学分析 多项式 |
Zip Modules |
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| ZHANG Cui-ping CHEN Jian-long.Zip Modules[J].Northeastern Mathematical Journal,2008,24(3):233-249. |
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| Authors: | ZHANG Cui-ping CHEN Jian-long |
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| Institution: | [1]Department of Mathematics, Southeast University, Nanjing, 210096 [2]Department of Mathematics, Northwest Normal University, Lanzhou, 730070 |
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| Abstract: | A ring R is called right zip provided that if the annlhilator rR(X) of a subset X of R is zero, then rR(Y)=0 for some finite subset Y X. Such rings have been studied in literature. For a right R-module M, we introduce the notion of a zip module, which is a generalization of the right zip ring. A number of properties of this sort of modules are established, and the equivalent conditions of the right zip ring R are given. Moreover, the zip properties of matrices and polynomials over a module M are studied. |
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| Keywords: | zip ring zip module Armendariz module polynomial module |
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