•双环的一个表征，其中每个dedeking有限模是有限生成的

International Journal of Mathematical Archive Pub Date : 2012-11-28 DOI:10.12988/IMF.2014.4352

Sidy Demba Toure, M. Sanghare, Sidy Mohamed Ould Mohamed

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引用次数: 1

摘要

设R是10的结合环，M是一个酉R模。如果M不同构于其自身的任何适当的直和，则称M是Dedekind有限的。如果每个Dedekind有限模都是有限生成的，则环R称为FGDF环。在这篇文章中，我们将证明fgdf -双环的特征是artinian主理想双环。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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• A CHARACTERIZATION OF DUO-RINGS IN WHICH EVERY DEDEKING FINITE MODULE IS FINITELY GENERATED

Let R be an associative ring with 1  0 and M an unitary R-module. M is said to be Dedekind finite if M is not isomorphic to any proper direct summand of itself. The ring R is called FGDF ring if every Dedekind finite module is finitely generated. In this note we will prove that artinian principal ideal duo-rings characterize FGDF-duo-rings.

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International Journal of Mathematical Archive

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