ON q-SKEW ITERATED ORE EXTENSIONS SATISFYING A POLYNOMIAL IDENTITY

DOI10.1142/S0219498811004938zbMath1244.16019arXiv1003.5405OpenAlexW1975870050MaRDI QIDQ3117899

André Leroy, Jerzy Matczuk

Publication date: 1 March 2012

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

Full work available at URL: https://arxiv.org/abs/1003.5405

zbMATH Keywords

graded ringspolynomial identitiesPI-degreesfiltered ringserasing derivationsquantum iterated Ore extensions

Mathematics Subject Classification ID

Ordinary and skew polynomial rings and semigroup rings (16S36) Prime and semiprime associative rings (16N60) Generalizations of commutativity (associative rings and algebras) (16U80) Derivations, actions of Lie algebras (16W25) Ore rings, multiplicative sets, Ore localization (16U20) Semiprime p.i. rings, rings embeddable in matrices over commutative rings (16R20)

Related Items (5)

Simple modules over Kq[X,Y⋊Uq≥0(sl2) and Kq[X,Y]⋊Uq(sl2) at root of unity] ⋮ Dipper Donkin quantized matrix algebra and reflection equation algebra at root of unity ⋮ PI degree of quantized Weyl algebras ⋮ On the importance of being primitive ⋮ Twist invariants of graded algebras

Cites Work

• PI degree parity in \(q\)-skew polynomial rings.
• Prime ideals in skew polynomial rings and quantized Weyl algebras
• Endomorphisms, derivations, and polynomial rings
• Vanishing of derivations and prime spectra of quantum algebras
• Polynomes tordus a identite polynomiale
• Goldie rank of ore extensions
• Representations of skew polynomial algebras
• ORE EXTENSIONS SATISFYING A POLYNOMIAL IDENTITY

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