Distributive extensions of modules

DOI10.1016/0021-8693(81)90220-9zbMath0468.13012OpenAlexW2012042104MaRDI QIDQ1156193

A. D. Barnard

Publication date: 1981

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

Full work available at URL: https://doi.org/10.1016/0021-8693(81)90220-9

zbMATH Keywords

arithmetic ringarithmetic moduledistributive submodule

Mathematics Subject Classification ID

Ideals and multiplicative ideal theory in commutative rings (13A15) Extension theory of commutative rings (13B02) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05)

Related Items

Modules with locally linearly ordered distributive hulls ⋮ A necessary and sufficient condition for a direct sum of modules to be distributive ⋮ The distributive hull of a ring ⋮ Endomorphism rings, power series rings, and serial modules ⋮ Unnamed Item ⋮ Distributive extensions of modules over noncommutative rings. ⋮ Distributive extensions of modules. ⋮ LATTICE DECOMPOSITION OF MODULES ⋮ Endomorphism rings of modules and lattices of submodules ⋮ Semidistributive modules ⋮ FINITELY GENERATED GRADED MULTIPLICATION MODULES

Cites Work

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• Modules Whose Lattice of Submodules is Distributive
• Distributive homomorphisms of rings and modules.
• A Compactness Property for Prime Ideals in Noetherian Rings
• Almost Maximal Valuation Rings
• Multiplication modules