Maximal orders over valuation rings

DOI10.1016/0021-8693(92)90035-KzbMath0781.16007MaRDI QIDQ1204405

Patrick J. Morandi

Publication date: 28 March 1993

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

zbMATH Keywords

central simple algebrasmaximal ordersBézout maximal orderscommutative valuation ringssemihereditary maximal orders

Mathematics Subject Classification ID

Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05)

Related Items (7)

A Springer theorem for Hermitian forms. ⋮ On semi-hereditary orders integral over a commutative valuation ring. ⋮ Integral semihereditary orders, extremality, and Henselization ⋮ Integral semihereditary orders inside a Bézout maximal order ⋮ Semi-hereditary orders in a simple artinian ring ⋮ On the intersection property of Dubrovin valuation rings ⋮ Weak crossed-product orders over valuation rings.

Cites Work

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• Division algebras over Henselian fields.
• An approximation theorem for Dubrovin valuation rings
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• Valuation rings in finite-dimensional division algebras
• Prime ideals in PI-rings
• PI-algebras. An introduction
• Valuation theory
• Extensions of Valuation Rings in Central Simple Algebras
• On Dubrovin Valuation Rings in Crossed Product Algebras
• Value Functions on Central Simple Algebras
• NONCOMMUTATIVE VALUATION RINGS IN SIMPLE FINITE-DIMENSIONAL ALGEBRAS OVER A FIELD
• Extending Valuations to Finite Dimensional Division Algebras
• MAXIMAL ORDERS IN A FINITE-DIMENSIONAL CENTRAL SIMPLE ALGEBRA OVER A VALUATION RING OF HEIGHT 1
• Semihereditary rings

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