Primes of Gauss Extensions Over Crossed Product Algebras

DOI10.1080/00927872.2012.665530zbMath1277.16015OpenAlexW2035999662MaRDI QIDQ2903358

E. Osmanagic, Hidetoshi Marubayashi, Hans-Heinrich Brungs

Publication date: 8 August 2012

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

Full work available at URL: https://doi.org/10.1080/00927872.2012.665530

zbMATH Keywords

crossed productsskew fields of fractionstotal subringsprime idealsordered groupsgraded extensionsGauss extensionsoverrings

Mathematics Subject Classification ID

Valuations, completions, formal power series and related constructions (associative rings and algebras) (16W60) Noncommutative local and semilocal rings, perfect rings (16L30) Graded rings and modules (associative rings and algebras) (16W50) Ideals in associative algebras (16D25) Twisted and skew group rings, crossed products (16S35)

Cites Work

• Extensions of chain rings
• Non-commutative valuation rings and semi-hereditary orders
• Noncommutative valuation rings of the quotient Artinian ring of a skew polynomial ring.
• Gauss extensions and total graded subrings for crossed product algebras.
• A classification of prime segments in simple artinian rings
• A classification and examples of rank one chain domains
• Valuation rings in Ore extensions
• Unnamed Item

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