Pure projective modules over non-singular serial rings

DOI10.1090/conm/730/14715zbMath1423.16001OpenAlexW2949049845MaRDI QIDQ5239171

Pavel Příhoda

Publication date: 22 October 2019

Published in: Model Theory of Modules, Algebras and Categories (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/conm/730/14715

zbMATH Keywords

Krull dimensionnon-singular serial rings

Mathematics Subject Classification ID

Free, projective, and flat modules and ideals in associative algebras (16D40) Chain conditions on other classes of submodules, ideals, subrings, etc.; coherence (associative rings and algebras) (16P70)

Cites Work

• Pure projective modules over chain domains with Krull dimension
• Rings over which every \(RD\)-projective module is a direct sum of cyclically presented modules.
• Monogeny dimension relative to a fixed uniform module.
• Equivalence of diagonal matrices over local rings.
• Serial rings and finitely presented modules
• Module theory. Endomorphism rings and direct sum decompositions in some classes of modules
• On uniserial modules that are not quasi-small.
• Krull-Schmidt fails for serial modules
• Some model theory over a nearly simple uniserial domain and decompositions of serial modules
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