PRIME SPECTRA OF AMBISKEW POLYNOMIAL RINGS

DOI10.1017/S0017089518000046zbMath1445.16024arXiv1611.09730OpenAlexW3106225258WikidataQ129981067 ScholiaQ129981067MaRDI QIDQ4559609

David A. Jordan, Christopher D. Fish

Publication date: 4 December 2018

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1611.09730

zbMATH Keywords

Goldie rankambiskew polynomial rings

Mathematics Subject Classification ID

Ordinary and skew polynomial rings and semigroup rings (16S36) Prime and semiprime associative rings (16N60) Automorphisms and endomorphisms (16W20) Derivations, actions of Lie algebras (16W25) Infinite-dimensional simple rings (except as in 16Kxx) (16D30) Ideals in associative algebras (16D25) Ore rings, multiplicative sets, Ore localization (16U20)

Related Items (1)

Connected quantized Weyl algebras and quantum cluster algebras

Cites Work

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• Primitivity in skew Laurent polynomial rings and related rings
• Down-up algebras and ambiskew polynomial rings
• Lectures on algebraic quantum groups
• Connected quantized Weyl algebras and quantum cluster algebras
• A simple localization of the quantized Weyl algebra
• Simple ambiskew polynomial rings.
• Non-commutative unique factorization domains
• A Class of Algebras Similar to the Enveloping Algebra of sl(2)
• Crossed Products and Multiplicative Analogues of Weyl Algebras
• Invariants for automorphisms of certain iterated skew polynomial rings
• Height one prime ideals of certain iterated skew polynomial rings
• Filter dimension of algebras and modules, a simplicity criterion of generalized weyl algebras
• Augmented down-up algebras and uniform posets

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