An indecomposable direct summand of a serial module which is not uniserial

DOI10.1080/00927872.2019.1654491zbMath1436.16007OpenAlexW2970770184WikidataQ105358542 ScholiaQ105358542MaRDI QIDQ4959867

Pavel Příhoda

Publication date: 7 April 2020

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927872.2019.1654491

zbMATH Keywords

serial moduleschain ringsdirect sum decompositions

Mathematics Subject Classification ID

Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70)

Cites Work

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• Pure projective modules over chain domains with Krull dimension
• Projective modules are determined by their radical factors.
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• On uniserial modules that are not quasi-small.
• SOME MODEL THEORY OVER AN EXCEPTIONAL UNISERIAL RING AND DECOMPOSITIONS OF SERIAL MODULES
• Krull-Schmidt fails for serial modules
• Projective modules and their trace ideals
• A classification and examples of rank one chain domains
• Some model theory over a nearly simple uniserial domain and decompositions of serial modules

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