The extended center of a skew power series ring

DOI10.1080/00927879608825695zbMath0857.16027OpenAlexW2031177620MaRDI QIDQ4889383

Mary Peles Rosen, Jerry D. Rosen

Publication date: 11 March 1997

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

Full work available at URL: https://doi.org/10.1080/00927879608825695

zbMATH Keywords

skew power series ringsactionsX-inner automorphismsfield of fractionsfixed subringsLaurent power series ringsextended centercentrally closed subrings

Mathematics Subject Classification ID

Ordinary and skew polynomial rings and semigroup rings (16S36) Prime and semiprime associative rings (16N60) Automorphisms and endomorphisms (16W20) Valuations, completions, formal power series and related constructions (associative rings and algebras) (16W60) Center, normalizer (invariant elements) (associative rings and algebras) (16U70)

Cites Work

• The extended centroid and \(X\)-inner automorphisms of Ore extensions
• Extended Centroids of Skew Polynomial Rings
• The martindale ring of quotients of a skew polynomial ring of automorphism type
• Extended centroids of power series rings
• Ideals and quotient rings of skew polynomial rings
• A Note on the Quotient Field of the Domain DX

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