Non-Commutative Unique Factorisation Rings

DOI10.1112/jlms/s2-33.1.22zbMath0601.16001OpenAlexW2085094671MaRDI QIDQ3735882

David A. Jordan, A. W. Chatters

Publication date: 1986

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/jlms/s2-33.1.22

zbMATH Keywords

universal enveloping algebralocalizationspolynomial extensionsunique factorization ringprincipal prime idealsolvable complex Lie algebratwisted polynomial ringheight-1 prime idealsUFRprime Noetherian ringsimple partial quotient ring

Mathematics Subject Classification ID

Prime and semiprime associative rings (16N60) Valuations, completions, formal power series and related constructions (associative rings and algebras) (16W60) Universal enveloping (super)algebras (17B35) Noetherian rings and modules (associative rings and algebras) (16P40) Localization and associative Noetherian rings (16P50) Integral domains (associative rings and algebras) (16U10) Modules, bimodules and ideals in associative algebras (16Dxx)

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