Bezout Domains and Rings with a Distributive Lattice of Right Ideals

DOI10.4153/CJM-1986-014-2zbMath0593.16001MaRDI QIDQ3722651

Hans-Heinrich Brungs

Publication date: 1986

Published in: Canadian Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

integral domainquotient ringPrüfer domainsleft Ore domainlattice of right idealsright Bezout domainright arithmetical domain

Mathematics Subject Classification ID

Divisibility, noncommutative UFDs (16U30) Noetherian rings and modules (associative rings and algebras) (16P40) Localization and associative Noetherian rings (16P50) Centralizing and normalizing extensions (16S20) Integral domains (associative rings and algebras) (16U10) Modules, bimodules and ideals in associative algebras (16Dxx)

Related Items (7)

Distributive elementary divisor domains ⋮ On rings (and chain domains) with restricted completeness conditions on topologizing filters ⋮ Strong right D-domains ⋮ Endomorphism rings, power series rings, and serial modules ⋮ Unnamed Item ⋮ Semidistributive modules ⋮ Distributive modules and rings and their close analogs

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