Noncommutative Prüfer rings

DOI10.1016/0021-8693(90)90155-HzbMath0718.16023MaRDI QIDQ2639139

Jusuf H. Alajbegović, Nikolay Dubrovin

Publication date: 1990

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

zbMATH Keywords

valuation ringsmaximal idealslocalizationsMorita invariantsclassical rings of quotientsprime Goldie ringsprojective generatorsfinitely generated right idealsPrüfer ringsbounded Krull ringsleft and right semihereditaryprime Dedekind rings

Mathematics Subject Classification ID

Module categories in associative algebras (16D90) Prime and semiprime associative rings (16N60) Ideals in associative algebras (16D25) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05) Divisibility, noncommutative UFDs (16U30) Semihereditary and hereditary rings, free ideal rings, Sylvester rings, etc. (16E60) Ore rings, multiplicative sets, Ore localization (16U20)

Related Items

Extending rings of Prüfer type in central simple algebras., Modules of projective dimension one over noncommutative prüfer rings, Strongly compressible modules and semiprime right goldie rings, On the intersection property of Dubrovin valuation rings, On extending Prüfer rings in central simple algebras, An approximation theorem for Dubrovin valuation rings, Rings of the Morita Contexts and Semihereditary MaximalV-Orders

Cites Work

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• Zur Theorie nicht kommutativer Prüferringe
• Non commutative Krull rings
• Rings with a distributive lattice of right ideals
• On bounded Krull prime rings
• Non-commutative Dedekind rings
• Left principal ideal rings
• Localizations of Dedekind prime rings
• NONCOMMUTATIVE VALUATION RINGS IN SIMPLE FINITE-DIMENSIONAL ALGEBRAS OVER A FIELD
• Semihereditary rings
• Coherent Rings and Fp -Injective Modules
• Maximal Orders