Semi-perfect FPF rings and applications
type: Item
instance of: scholarly article
title: Semi-perfect FPF rings and applications
zbMATH Open document ID: 0618.16021
DOI: 10.1016/0021-8693(87)90092-5
author: Theodore G. Faticoni
published in: Journal of Algebra
publication date: 1987-01-01T00:00:00Z
review text: A ring R is right FPF if every finitely-generated faithful right R-module is a generator. Let R be a semi-perfect right FPF ring in which right regular elements are regular. It is shown that R has a semi-perfect right self-injective left and right classical quotient ring. Also R is a direct product of matrix rings over serial domains and a ring whose right singular ideal is essential as a right ideal. This is used to give information about when R has a QF quotient ring and about the case in which R is right or left Noetherian. The hypothesis that right regular elements of R are regular is added to the statements of several of the results in a note at the end of the paper.
Mathematics Subject Classification ID: 16L30
Mathematics Subject Classification ID: 16L60
Mathematics Subject Classification ID: 16P50
zbMATH DE Number: 4002313
zbMATH Keywords: generator
zbMATH Keywords: semi-perfect right FPF ring
zbMATH Keywords: right regular elements
zbMATH Keywords: classical quotient ring
zbMATH Keywords: QF quotient ring
reviewed by: A. W. Chatters
MaRDI profile type: Publication
full work available at URL: 0021-8693(87)90092-5
OpenAlex ID: W2094747334
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description: scientific article; zbMATH DE number 4002313