FINITENESS CONDITIONS OF S-COHN–JORDAN EXTENSIONS

DOI10.1142/S0219498812500636zbMath1264.16027arXiv1110.1446MaRDI QIDQ2909793

Jerzy Matczuk

Publication date: 6 September 2012

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1110.1446

zbMATH Keywords

Noetherian ringsfiniteness conditionsBézout ringsleft principal ideal ringsCohn-Jordan extensionsinjective ring endomorphisms

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) Chain conditions on annihilators and summands: Goldie-type conditions (16P60) Ore rings, multiplicative sets, Ore localization (16U20) Noetherian rings and modules (associative rings and algebras) (16P40)

Cites Work

• Goldie conditions for Ore extensions over semiprime rings.
• Localization with respect to endomorphisms
• S-Cohn–Jordan 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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