Isomorphic ore extensions

DOI10.1080/00927878708823556zbMath0629.16002OpenAlexW2106225502MaRDI QIDQ3765927

Hyeng Keun Koo, Efraim P. Armendariz, Jae Keol Park

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1080/00927878708823556

zbMATH Keywords

skew polynomial ringsvon Neumann regular ringOre extensiondifferential operator ringcancellation theorems\(\delta \) - modules]finitely generated projective A[xregular self-injective P.I. ring

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) Valuations, completions, formal power series and related constructions (associative rings and algebras) (16W60) von Neumann regular rings and generalizations (associative algebraic aspects) (16E50) Rings with polynomial identity (16Rxx)

Related Items

On Skew Inverse Laurent-Serieswise Armendariz Rings, A GENERALIZATION OF REDUCED RINGS, Unnamed Item, On the Schröder-Bernstein property for modules, Extending automorphisms and derivations onto Ore-extensions, Study of skew inverse Laurent series rings, \(\Sigma\)-semicommutative rings and their skew PBW extensions, ON ORE EXTENSIONS OF QUASI-BAER RINGS, Lower bounds on the stable range of skew polynomial rings, Baer and Quasi-Baer Differential Polynomial Rings, Questions on 2-primal rings, Polynomial extensions of Baer and quasi-Baer rings, Ore Extensions of Skew Armendariz Rings, Cancellation of Morita and skew types, Unnamed Item, Ore extensions of Baer and p.p.-rings., Semiprime ore extensions, BAER AND QUASI-BAER PROPERTIES OF SKEW PBW EXTENSIONS

Cites Work

• Primitivity in differential operator rings
• Isomorphic polynomial rings
• Extension of derivations to central simple algebras
• Noetherian Ore Extensions and Jacobson Rings
• Pierce sheaves of non-commutative rings