On weak injectivity of direct sums of modules
type: Item
instance of: scholarly article
title: On weak injectivity of direct sums of modules
zbMATH Open document ID: 0917.16002
author: K. Appert
published in: Vietnam Journal of Mathematics
publication date: 1999-07-19T00:00:00Z
review text: This paper studies the concept of weak injectivity in the category \(\sigma[M]\). The question of direct sums of weakly injective modules being weakly injective is revisited through their study of weak injectivity in \(\sigma[M]\). The paper contains several interesting results, like obtaining necessary and sufficient conditions for \(\Sigma\)-weak injectivity of the injective hull of a simple module. A survey of results on weak injectivity is contained in [\textit{S. K. Jain, S. R. López-Permouth}, Computational Algebra, Lect. Notes Pure Appl. Math. 151, 205-232 (1993; Zbl 0802.16005)].
Mathematics Subject Classification ID: 16D50
Mathematics Subject Classification ID: 16D70
Mathematics Subject Classification ID: 16D60
zbMATH DE Number: 1239971
zbMATH Keywords: weak injectivity
zbMATH Keywords: injective hulls
zbMATH Keywords: simple modules
zbMATH Keywords: direct sums
zbMATH Keywords: weakly injective modules
reviewed by: S. K. Jain
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1239971