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