The ore condition for polynomial and power series rings

DOI10.1080/00927879508825524zbMath0879.16014OpenAlexW2044701206MaRDI QIDQ4863778

Ferran Cedó, Herbera, Dolors

Publication date: 6 March 1996

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

Full work available at URL: https://doi.org/10.1080/00927879508825524

zbMATH Keywords

regular elementsautomorphismsformal power series ringsfinitely generated right modulessurjective endomorphismsright Ore domainsright Ore ringsright repetitive ringsright Ore setsright classical rings of quotientsdirectly finite right Ore ringssimple non-Artinian von Neumann regular rings

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Ordinary and skew polynomial rings and semigroup rings (16S36) Valuations, completions, formal power series and related constructions (associative rings and algebras) (16W60) Ore rings, multiplicative sets, Ore localization (16U20) von Neumann regular rings and generalizations (associative algebraic aspects) (16E50)

Related Items (3)

Essentially compressible modules and rings. ⋮ Dependent rings ⋮ On annihilator ideals in skew power series rings

Cites Work

• Unnamed Item
• Stable range one for rings with many units
• The power series ring over an Ore domain need not be Ore
• Injective classical quotient rings of polynomial rings are quasi- Frobenius
• Orders in Artinian rings. II
• Stable rank of rings and dimensionality of topological spaces
• Radicals Of Polynomial Rings
• Surjective endomorphisms of finitely generated modules
• On semihereditary rings
• On injective and surjective endomorphisms of finitely generated modules
• Morita equivalence and quotient rings
• On semilocal rings

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