Quasi-basic submodules over valuation domains
type: Item
instance of: scholarly article
title: Quasi-basic submodules over valuation domains
zbMATH Open document ID: 0790.13002
author: Silvana Bazzoni
author: Luigi Salce
published in: Rendiconti del Seminario Matematico della Università di Padova
publication date: 1994-06-20T00:00:00Z
full work available at URL: http://www.numdam.org/item
full work available at URL: https://eudml.org/doc/108309
review text: The authors define two kinds of new invariants for modules over valuation domains. The first ones form a complete independent set of invariants for direct sums of uniserial modules, including the non-standard ones, and are related to maximal pure direct sums of uniserial submodules isomorphic to a fixed uniserial module. - The second kind of invariants are related to maximal pure direct sums of arbitrary uniserial submodules.
reviewed by: Phillip Schultz
Mathematics Subject Classification ID: 13C05
Mathematics Subject Classification ID: 13F30
Mathematics Subject Classification ID: 13C13
Mathematics Subject Classification ID: 13A50
zbMATH DE Number: 510098
zbMATH Keywords: invariants
zbMATH Keywords: modules over valuation domains
zbMATH Keywords: direct sums of uniserial submodules
MaRDI profile type: Publication
cites work: The hierarchy of uniserial modules over a valuation domain
cites work: Prebasic submodules over valuation rings
cites work: Q3699812
cites work: Q5603010
cites work: A Result by Kulikov that Does Not Extend to Modules Over General Valuation Domains
description: scientific article; zbMATH DE number 510098