Prime and Primary Ideals in a Prüfer Order in a Simple Artinian Ring with Finite Dimension over its Center

DOI10.4153/CMB-1999-043-7zbMath0933.16014MaRDI QIDQ4267615

Akira Ueda, Hidetoshi Marubayashi

Publication date: 22 March 2000

Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)

zbMATH Keywords

maximal idealsprogeneratorsDubrovin valuation ringsPrüfer domainsPrüfer orderscentrally simple algebrasright primary idealssemi-local Bézout ordersunbranched prime ideals

Mathematics Subject Classification ID

Ideals in associative algebras (16D25) Finite-dimensional division rings (16K20) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05)

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