On the intersection property of Dubrovin valuation rings

DOI10.1090/S0002-9939-97-03987-7zbMath0891.16014MaRDI QIDQ4356702

Yi-cai Zhao

Publication date: 1 October 1997

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

prime idealscentral simple algebrasintersection propertyDubrovin valuation ringsoverrings

Mathematics Subject Classification ID

Valuations, completions, formal power series and related constructions (associative rings and algebras) (16W60) Valuations and their generalizations for commutative rings (13A18) Noncommutative local and semilocal rings, perfect rings (16L30) Finite-dimensional division rings (16K20)

Related Items (2)

Extending rings of Prüfer type in central simple algebras. ⋮ Value functions and Dubrovin valuation rings on simple algebras

Cites Work

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• An approximation theorem for Dubrovin valuation rings
• Dubrovin valuation rings and Henselization
• Prime ideals in PI-rings
• Maximal orders over valuation rings
• Noncommutative Prüfer rings satisfying a polynomial identity
• Valuation theory
• Noncommutative Prüfer rings
• The Defektsatz for Central Simple Algebras
• Prime PI-rings in which finitely generated right ideals are principal
• Rings in Which Finitely Generated Right Ideals are Principal^†

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