On non-standard uniserial modules over valuation domains and their quotients

DOI10.1016/0021-8693(90)90024-IzbMath0714.13008MaRDI QIDQ750531

Silvana Bazzoni, Luigi Salce

Publication date: 1990

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

zbMATH Keywords

valuation domaindiamond principlequotient of a non-standard uniserial module

Mathematics Subject Classification ID

Integral domains (13G05) Structure, classification theorems for modules and ideals in commutative rings (13C05) Valuation rings (13F30) Rings of fractions and localization for commutative rings (13B30) Chain conditions, finiteness conditions in commutative ring theory (13E99)

Related Items (10)

Explicitly non-standard uniserial modules ⋮ Some properties of direct sums of uniserial modules over valuation domains ⋮ A construction of nonstandard uniserial modules over valuation domains ⋮ Moduli uniseriali non standard ⋮ Elongations of uniserial modules over valuation domains ⋮ On a Conjecture Regarding Nonstandard Uniserial Modules ⋮ Uniserial modules over manis rings ⋮ Baer and Morita duality ⋮ A Transfer Theorem for Nonstandard Uniserials ⋮ Equimorphism classes of uniserial modules over valuation domains

Cites Work

• Torsion-free covers and pure-injective envelopes over valuation domains
• Some cardinal invariants for valuation domains
• Around classification theory of models
• Polyserial modules over valuation domains
• Nonstandard uniserial modules over valuation domains
• Serial modules and endomorphism rings
• A weak version of \(\lozenge\) which follows from \(2^{\aleph_0}<2^{\aleph_1}\)

This page was built for publication: On non-standard uniserial modules over valuation domains and their quotients