An Application of Jonsson Modules to Some Questions Concerning Proper Subrings.

DOI10.7146/math.scand.a-12385zbMath0782.13005OpenAlexW2530884846MaRDI QIDQ4711252

Robert Gilmer, William J. Heinzer

Publication date: 25 June 1992

Published in: MATHEMATICA SCANDINAVICA (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/167186

zbMATH Keywords

Krull dimensionArtinianNoetherian propertyJónsson moduleslifting of properties to ring extension

Mathematics Subject Classification ID

Commutative Noetherian rings and modules (13E05) Structure, classification theorems for modules and ideals in commutative rings (13C05) Extension theory of commutative rings (13B02) Commutative Artinian rings and modules, finite-dimensional algebras (13E10) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15)

Related Items (8)

On modules \(M\) for which \(N\cong M\) for every submodule \(N\) of size \(|M|\) ⋮ Unital rings with cardinality restrictions on unital subrings ⋮ Almost strongly unital rings ⋮ Strongly Jónsson and strongly HS modules ⋮ Ring extensions with finitely many non-Artinian intermediate rings ⋮ SMALL AND LARGE IDEALS OF AN ASSOCIATIVE RING ⋮ Rings whose subrings have an identity ⋮ More results on congruent modules

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