Strong right D-domains

DOI10.1007/BF01300343zbMath0679.16004OpenAlexW2373433399MaRDI QIDQ1124660

Joachim Graeter

Publication date: 1989

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/178421

zbMATH Keywords

integral domainPrüfer domainslattice of right idealsfractional right idealsleft invertible fractional right idealsright D-domainsstrong right D-domains

Mathematics Subject Classification ID

Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05) Divisibility, noncommutative UFDs (16U30) Localization and associative Noetherian rings (16P50) Integral domains (associative rings and algebras) (16U10) Modules, bimodules and ideals in associative algebras (16Dxx)

Related Items (4)

Endomorphism rings, power series rings, and serial modules ⋮ Unnamed Item ⋮ Semidistributive modules ⋮ Distributive modules and rings and their close analogs

Cites Work

• Unnamed Item
• Valuations on finite-dimensional division algebras and their value groups
• Extensions of chain rings
• On noncommutative Prüfer rings
• Lokalinvariante Bewertungen. (Locally invariant valuations)
• Valuations of skew fields and projective Hjelmslev spaces
• Overrings of right chain domains
• Locally invariant Prüfer rings.
• Rings with flat right ideals and distributive rings
• Rings with distributive lattice of right ideals.
• Valuation rings in finite-dimensional division algebras
• Zur Theorie nicht kommutativer Prüferringe
• Rings with a distributive lattice of right ideals
• Bezout Domains and Rings with a Distributive Lattice of Right Ideals
• Modules Whose Lattice of Submodules is Distributive
• Groups Acting on Hereditary Rings
• A remark on the arithmetic in a subfield
• On Ordered Division Rings

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