Jónsson Modules over Noetherian Rings

DOI10.1080/00927870902936943zbMath1220.13008OpenAlexW2013454082MaRDI QIDQ3057737

Greg G. Oman

Publication date: 17 November 2010

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

Full work available at URL: https://doi.org/10.1080/00927870902936943

zbMATH Keywords

discrete valuation ringcardinalityintegral domainNoetherian ringGeneralized Continuum HypothesisJónsson module

Mathematics Subject Classification ID

Commutative Noetherian rings and modules (13E05) Integral domains (13G05) Structure, classification theorems for modules and ideals in commutative rings (13C05) Continuum hypothesis and Martin's axiom (03E50) Ordinal and cardinal numbers (03E10)

Related Items (10)

Residually small commutative rings ⋮ Residual smallness in commutative algebra ⋮ Strongly Jónsson and strongly HS modules ⋮ Jonsson and HS modules over commutative rings ⋮ SMALL AND LARGE IDEALS OF AN ASSOCIATIVE RING ⋮ Modules Which are Isomorphic to Their Factor Modules ⋮ More results on congruent modules ⋮ A characterization of large Dedekind domains ⋮ GROUPS WITH MANY PRONORMAL SUBGROUPS ⋮ Modules whose submodule lattice is lower finite

Cites Work

• Unnamed Item
• Modules whose proper submodules are finitely generated
• On the number of normal subgroups of an uncountable soluble group
• Artinian modules and modules of which all proper submodules are finitely generated
• On Jónsson algebras over a commutative ring
• On the Cardinality of Subrings of a Commutative Ring
• Groups and Cardinal Numbers

This page was built for publication: Jónsson Modules over Noetherian Rings