Finitely Generated Artinian and Distributive Modules are Cyclic

DOI10.1112/blms/10.3.287zbMath0398.16006OpenAlexW1988228009MaRDI QIDQ4182847

Peter Vámos

Publication date: 1978

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/blms/10.3.287

zbMATH Keywords

Direct Sum of Cyclic ModulesFinitely Generated Artinian Distributive Module

Mathematics Subject Classification ID

Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Other classes of modules and ideals in associative algebras (16D80)

Related Items (12)

Finitely Cogenerated Distributive Modules are Q-Cocyclic ⋮ OnS-duo rings ⋮ A necessary and sufficient condition for a direct sum of modules to be distributive ⋮ Endomorphism rings, power series rings, and serial modules ⋮ Unnamed Item ⋮ Rings with linearly ordered right annihilators ⋮ Endomorphism rings of modules and lattices of submodules ⋮ Multiplication modules ⋮ When are homogeneous functions linear? A lattice point of view. ⋮ Semidistributive modules ⋮ Distributive modules and rings and their close analogs ⋮ Modules

This page was built for publication: Finitely Generated Artinian and Distributive Modules are Cyclic