Endomorphisms, derivations, and polynomial rings

DOI10.1016/0021-8693(78)90213-2zbMath0384.16008OpenAlexW2041928819MaRDI QIDQ1248566

Gérard Cauchon, J. Chris Robson

Publication date: 1978

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

Full work available at URL: https://doi.org/10.1016/0021-8693(78)90213-2

Mathematics Subject Classification ID

Automorphisms and endomorphisms (16W20) Valuations, completions, formal power series and related constructions (associative rings and algebras) (16W60) Divisibility, noncommutative UFDs (16U30) Division rings and semisimple Artin rings (16Kxx)

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Cites Work

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• Hereditary Noetherian prime rings
• Idéaux bilatères d'un anneau de polynômes non commutatifs sur un corps
• Skew polynomial rings over semi-simple rings
• Idealizers and hereditary Noetherian prime rings
• Derivations in Simple Rings
• The Coincidence of Idealizer Subrings
• Multiple Idealizers and Hereditary Noetherian Prime Rings