A generalization of a theorem of Faith and Menal and applications

Tsuda, Kentaro

doi:https://doi.org/10.1155/S0161171200000636

International Journal of Mathematics and Mathematical Sciences

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Volume 23 |Article ID 526139 | https://doi.org/10.1155/S0161171200000636

Kentaro Tsuda, "A generalization of a theorem of Faith and Menal and applications", International Journal of Mathematics and Mathematical Sciences, vol. 23, Article ID 526139, 6 pages, 2000. https://doi.org/10.1155/S0161171200000636

A generalization of a theorem of Faith and Menal and applications

Kentaro Tsuda¹

¹Department of Mathematics, Graduate School of Natural Science and Technology, Okayama University, Japan

Received19 Dec 1997

Revised10 Mar 1998

Abstract

In 1995, Faith and Menal have established the V -ring theorem which gives a characterization of a V-ring. In this paper, we generalize this theorem to V-modules and consider some applications for Noetherian self-cogenerators.

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Copyright © 2000 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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