Distributive modules and Armendariz modules

Yiqiang Zhou; Michal Ziembowski

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Distributive modules and Armendariz modules

机译：分配模块和Armendariz模块

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Motivated by a recent result of Mazurek and Ziembowski in that every left distributive ring is Armendariz, in this paper we present methods of constructing Armendariz modules using a distributive module. We prove that, for a bimodule _RV_A, _RY being distributive implies that V_A is Armendariz, and that every right module over a right distributive ring is Armendariz. These results can be used to construct new Armendariz rings. Examples are provided to illustrate and delimit the results obtained.

机译：受到Mazurek和Ziembowski的最新结果的启发，每个左分配环都是Armendariz，在本文中，我们介绍了使用分配模块构造Armendariz模块的方法。我们证明，对于双模块_RV_A，_RY具有分配性意味着V_A是Armendariz，并且在右分配环上的每个右模块都是Armendariz。这些结果可用于构建新的Armendariz环。提供了示例来说明和限制所获得的结果。

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来源
《Journal of the Mathematical Society of Japan》 |2015年第2期|789-796|共8页
作者
Yiqiang Zhou; Michal Ziembowski;
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作者单位

Department of Mathematics and Statistics Memorial University of Newfoundland St.John's, Nfld A1C 5S7, Canada;

Faculty of Mathematics and Information Science Warsaw University of Technology 00-662 Warsaw, Koszykowa 75, Poland;

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收录信息美国《科学引文索引》(SCI);
原文格式 PDF
正文语种 eng
中图分类
关键词
Armendariz ring (module); distributive ring (module);

机译：Armendariz环（模块）;分配环（模块）;

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Distributive modules and Armendariz modules

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