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- W2020540009 abstract "Motivated by a recent result of Mazurek and Ziembowski in [ 21] 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 $_RV_A$, $_RV$ 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." @default.
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- W2020540009 date "2015-04-01" @default.
- W2020540009 modified "2023-09-26" @default.
- W2020540009 title "Distributive modules and Armendariz modules" @default.
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- W2020540009 doi "https://doi.org/10.2969/jmsj/06720789" @default.
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