A generalization of a theorem of Faith and Menal and applications
Kentaro Tsuda1
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.