S-Cohn–Jordan Extensions

DOI10.1080/00927870601115591zbMath1143.16025OpenAlexW1970317141MaRDI QIDQ3435918

Jerzy Matczuk

Publication date: 8 May 2007

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

Full work available at URL: https://doi.org/10.1080/00927870601115591

zbMATH Keywords

semiprime ringsuniform dimensionleft Goldie ringsCohn-Jordan extensions

Mathematics Subject Classification ID

Ordinary and skew polynomial rings and semigroup rings (16S36) Actions of groups and semigroups; invariant theory (associative rings and algebras) (16W22) Prime and semiprime associative rings (16N60) Homological dimension in associative algebras (16E10) Chain conditions on annihilators and summands: Goldie-type conditions (16P60) Ore rings, multiplicative sets, Ore localization (16U20)

Related Items (3)

Partial Crossed Products and Goldie Rings ⋮ FINITENESS CONDITIONS OF S-COHN–JORDAN EXTENSIONS ⋮ RING ENDOMORPHISMS WITH LARGE IMAGES

Cites Work

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• Goldie conditions for Ore extensions over semiprime rings.
• Uniform rank over differential operator rings and Poincaré-Birkhoff- Witt extensions
• Endomorphisms, derivations, and polynomial rings
• Localization with respect to endomorphisms
• Polynomial rings over finite dimensional rings
• Skew polynomial rings over orders in Artinian rings
• Goloie dimension of differential operator rings
• Bijective Extensions of Injective Ring Endomorphisms
• Goldie rank of ore extensions
• Crossed Products by Semigroups of Endomorphisms and Groups of Partial Automorphisms
• Actions of semigroups on directed graphs and their \(C^*\)-algebras

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