Rings with a distributive lattice of right ideals

DOI10.1016/0021-8693(76)90203-9zbMath0346.16006OpenAlexW2001671596MaRDI QIDQ1233476

Hans-Heinrich Brungs

Publication date: 1976

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

Full work available at URL: https://doi.org/10.1016/0021-8693(76)90203-9

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) Divisibility, noncommutative UFDs (16U30) Localization and associative Noetherian rings (16P50) Integral domains (associative rings and algebras) (16U10)

Related Items

Locally invariant Prüfer rings. ⋮ On the ideal structure of right distributive rings ⋮ Extensions of Valuation Rings in Central Simple Algebras ⋮ Rings with distributive lattice of right ideals. ⋮ Noncommutative Prüfer rings ⋮ A structure theorem for right invariant right holoids ⋮ Strong right D-domains ⋮ On distributive modules and rings. ⋮ Zur Theorie nicht kommutativer Prüferringe ⋮ Endomorphism rings, power series rings, and serial modules ⋮ Unnamed Item ⋮ Rings with Annihilator Chain Conditions and Right Distributive Rings ⋮ Rings with linearly ordered right annihilators ⋮ Endomorphism rings of modules and lattices of submodules ⋮ Semigroups associated with right chain rings ⋮ Chain rings and valuation semigroups ⋮ Semidistributive modules ⋮ An approximation theorem for Dubrovin valuation rings ⋮ Distributive modules and rings and their close analogs ⋮ Restricted Lie algebras having a distributive lattice of restricted subalgebras ⋮ On noncommutative Prüfer rings ⋮ Lokalinvariante Bewertungen. (Locally invariant valuations) ⋮ Distributive modules and Armendariz modules.

Cites Work

• A counter-example in ring theory and homological algebra
• Über die Ideale arithmetischer Ringe
• Modules Whose Lattice of Submodules is Distributive
• On Characterizations of Prüfer Rings.
• Arithmetical rings
• Generalized Discrete Valuation Rings
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