Direct sums of reflexive modules
type: Item
instance of: scholarly article
title: Direct sums of reflexive modules
zbMATH Open document ID: 0852.16002
DOI: 10.1016/S0024-3795(96)90012-9
author: J. F. Watters
author: Kent R. Fuller
author: W. Keith Nicholson
published in: Linear Algebra and its Applications
publication date: 1996-12-09T00:00:00Z
review text: The authors consider reflexive modules over algebras in the sense of their previous paper [Can. J. Math. 41, No. 4, 592-611 (1989; Zbl 0684.16020)]. Specifically, they address the problem of when direct sums of reflexive modules are reflexive. They show that this is the case for algebras termed locally left distributive, a class that includes the serial algebras, among others. On the other hand, reflexivity is not preserved by direct sums if the quiver of the algebra contains a triple arrow.
Mathematics Subject Classification ID: 16D70
Mathematics Subject Classification ID: 16G20
Mathematics Subject Classification ID: 16G10
zbMATH DE Number: 881696
zbMATH Keywords: locally left distributive algebras
zbMATH Keywords: direct sums of reflexive modules
zbMATH Keywords: serial algebras
zbMATH Keywords: quivers
reviewed by: William H. Gustafson
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 881696