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Abstract
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International Journal of Mathematics and Mathematical Sciences
Volume 23 (2000), Issue 3, Pages 169-174
doi:10.1155/S0161171200000636

A generalization of a theorem of Faith and Menal and applications

Kentaro Tsuda

Department of Mathematics, Graduate School of Natural Science and Technology, Okayama University, Okayama 700, Japan

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.