Prime ideals in noncommutative valuation rings in finite dimensional central simple algebras

DOI10.3792/pjaa.69.35zbMath0805.16037OpenAlexW2030949498MaRDI QIDQ1312063

Hidetoshi Marubayashi, Haruo Miyamoto, Akira Ueda

Publication date: 5 February 1995

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.69.35

zbMATH Keywords

valuation ringsprime ideals\(P\)-primary idealsfinite dimensional central simple algebraslinearly ordered ideal lattices

Mathematics Subject Classification ID

Valuations, completions, formal power series and related constructions (associative rings and algebras) (16W60) Ideals in associative algebras (16D25) Finite-dimensional division rings (16K20)

Related Items (1)

Ore extensions over total valuation rings.

Cites Work

• NONCOMMUTATIVE VALUATION RINGS IN SIMPLE FINITE-DIMENSIONAL ALGEBRAS OVER A FIELD
• Maximal Orders
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