Noncommutative rings whose modules have essential flat envelopes
type: Item
instance of: scholarly article
title: Noncommutative rings whose modules have essential flat envelopes
zbMATH Open document ID: 0836.16001
author: Manuel Saorín
author: A. del Valle
author: Juan Martínez Hernández
published in: Journal of Algebra
publication date: 1995-12-14T00:00:00Z
review text: A flat envelope has been defined by replacing injective by flat in the normal definition of an injective hull. It is not known over which rings every left module has a flat envelope. This paper does not answer this question, but makes some progress in that direction by characterizing (for noncommutative rings) those IF-rings \(R\) for which every left \(R\)- module has an essential flat envelope. The paper concludes with a section containing a number of examples showing the not very nice behaviour of monomorphic flat envelopes, as well as questions raised by the examples.
reviewed by: Frieda Theron
Mathematics Subject Classification ID: 16D40
Mathematics Subject Classification ID: 16D50
zbMATH DE Number: 823512
zbMATH Keywords: injective hulls
zbMATH Keywords: IF-rings
zbMATH Keywords: left modules
zbMATH Keywords: monomorphic flat envelopes
MaRDI profile type: Publication
full work available at URL: jabr.1995.1306
OpenAlex ID: W2061525216
DOI: 10.1006/JABR.1995.1306
description: scientific article; zbMATH DE number 823512