ORE EXTENSIONS SATISFYING A POLYNOMIAL IDENTITY

DOI10.1142/S0219498806001727zbMath1103.16017arXiv0707.0173MaRDI QIDQ5483401

André Leroy, Jerzy Matczuk

Publication date: 14 August 2006

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

Full work available at URL: https://arxiv.org/abs/0707.0173

zbMATH Keywords

injective endomorphismsACC on annihilatorscenterslocalizationsOre extensionsuniform dimensionclassical quotient ringssemiprime PI-rings

Mathematics Subject Classification ID

Ordinary and skew polynomial rings and semigroup rings (16S36) Localization and associative Noetherian rings (16P50) Chain conditions on other classes of submodules, ideals, subrings, etc.; coherence (associative rings and algebras) (16P70) Semiprime p.i. rings, rings embeddable in matrices over commutative rings (16R20)

Related Items

Algebraic skew derivations., Ore extensions which are GPI-rings., ON q-SKEW ITERATED ORE EXTENSIONS SATISFYING A POLYNOMIAL IDENTITY, Iterated Hopf Ore extensions in positive characteristic

Cites Work

• Twisted polynomial rings satisfying a polynomial identity
• Goldie conditions for Ore extensions over semiprime rings.
• The extended centroid and \(X\)-inner automorphisms of Ore extensions
• Endomorphisms, derivations, and polynomial rings
• Skew polynomial rings over orders in Artinian rings
• Polynomes tordus a identite polynomiale
• Representations of Some PI Algebras
• SMASH PRODUCTS SATISFYING A POLYNOMIAL IDENTITY
• Generator ideals in Noetherian PI rings