Integral semihereditary orders, extremality, and Henselization

DOI10.1006/jabr.1996.6844zbMath0871.16009OpenAlexW2062440978MaRDI QIDQ1355583

John S. Kauta

Publication date: 24 September 1997

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

Full work available at URL: https://doi.org/10.1006/jabr.1996.6844

zbMATH Keywords

central simple algebrasDubrovin valuation ringsvaluation domainsBézout ordersmaximal overorderssemi-hereditary \(V\)-orders

Mathematics Subject Classification ID

Valuations, completions, formal power series and related constructions (associative rings and algebras) (16W60) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05)

Related Items (6)

On semi-hereditary orders integral over a commutative valuation ring. ⋮ Integral semihereditary orders inside a Bézout maximal order ⋮ Hereditary crossed product orders over discrete valuation rings. ⋮ Hereditary orders in the quotient ring of a skew polynomial ring ⋮ Weak crossed-product orders over valuation rings. ⋮ Rings of the Morita Contexts and Semihereditary MaximalV-Orders

Cites Work

• Dubrovin valuation rings and Henselization
• Valuation rings in finite-dimensional division algebras
• Maximal orders over valuation rings
• PI-algebras. An introduction
• Bézout orders and Henselization
• Valuation theory
• Torsion-Free and Divisible Modules Over Non-Integral-Domains
• The Defektsatz for Central Simple Algebras
• Prime PI-rings in which finitely generated right ideals are principal
• Semihereditary prime algebras
• Semihereditary rings
• A Note on the Global Dimension of Subrings
• Two Remarks About Hereditary Orders
• Semi-Prime Right Goldie Rings which are Direct Sums of Uniform Right Ideals
• On Maximally Central Algebras
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