Modules characterized by their simple submodules.
type: Item
instance of: scholarly article
title: Modules characterized by their simple submodules.
zbMATH Open document ID: 1241.16002
published in: Taiwanese Journal of Mathematics
publication date: 2011-12-19T00:00:00Z
review text: The author investigates two known types of modules characterized by their simple submodules. Thus, a module is called PS (resp., FS) if every submodule is projective (resp., flat). Also, it is introduced and studied the concept of min-coherent module, defined as a module with every simple submodule finitely presented. Some closure properties are discussed and several characterizations are given.
reviewed by: Iuliu Crivei
Mathematics Subject Classification ID: 16D50
Mathematics Subject Classification ID: 16D40
Mathematics Subject Classification ID: 16D60
Mathematics Subject Classification ID: 16P70
zbMATH DE Number: 5990188
zbMATH Keywords: min-coherent modules
zbMATH Keywords: PS-modules
zbMATH Keywords: FS-modules
zbMATH Keywords: min-flat modules
zbMATH Keywords: min-injective modules
zbMATH Keywords: preenvelopes
zbMATH Keywords: precovers
zbMATH Keywords: finitely presented simple submodules
author: Lixin Mao
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.11650/twjm/1500406438
OpenAlex ID: W4236087510
DOI: 10.11650/TWJM/1500406438
description: scientific article; zbMATH DE number 5990188