On quasi-\((m,n)\)-injective modules.
type: Item
instance of: scholarly article
title: On quasi-\((m,n)\)-injective modules.
zbMATH Open document ID: 1072.16003
author: Zhanmin Zhu
author: Jianlong Chen
author: Xiaoxiang Zhang
published in: Southeast Asian Bulletin of Mathematics
publication date: 2005-03-21T00:00:00Z
review text: Let \(M\) and \(N\) be modules over a ring \(R\). The authors call \(N\) \(M\)-\(n\)-generated if it is a homomorphic image of \(M^n\), and call \(M\) quasi-\((m,n)\)-injective if each \(R\)-homomorphism from an \(M\)-\(n\)-generated submodule of \(M^m\) to \(M\) extends to one from \(M^m\) to \(M\). Characterization theorems are given for these new modules, which generalize known results.
Mathematics Subject Classification ID: 16D50
Mathematics Subject Classification ID: 16D70
Mathematics Subject Classification ID: 16D80
zbMATH DE Number: 2148387
zbMATH Keywords: quasi-\((m,n)\)-injective modules
reviewed by: Xue Weimin
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 2148387