Height one prime ideals of certain iterated skew polynomial rings

DOI10.1017/S0305004100071693zbMath0804.16028OpenAlexW2167402602MaRDI QIDQ4287002

David A. Jordan

Publication date: 16 January 1995

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0305004100071693

zbMATH Keywords

generatorssimple modulesintegral domainiterated skew polynomial ringquantized Weyl algebraheight-1 prime idealsprincipal height-1 primes

Mathematics Subject Classification ID

Ordinary and skew polynomial rings and semigroup rings (16S36) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60) Ideals in associative algebras (16D25) Ore rings, multiplicative sets, Ore localization (16U20)

Related Items (11)

Basic properties of generalized down-up algebras. ⋮ Finite-dimensional simple modules over certain iterated skew polynomial rings ⋮ PRIME SPECTRA OF AMBISKEW POLYNOMIAL RINGS ⋮ Classification of factorial generalized down-up algebras. ⋮ Simple ambiskew polynomial rings. ⋮ Invariants for automorphisms of certain iterated skew polynomial rings ⋮ Krull dimension of generalized Weyl algebras and iterated skew polynomial rings: Commutative coefficients ⋮ Two-Parameter Analogs of the Heisenberg Enveloping Algebra ⋮ Down-up algebras and ambiskew polynomial rings ⋮ On projective modules over quantum polynomials ⋮ Isomorphism problems and groups of automorphisms for generalized Weyl algebras

Cites Work

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• Twisted \(\text{SU}(2)\) group. An example of a non-commutative differential calculus
• Prime ideals in skew polynomial rings and quantized Weyl algebras
• Iterated skew polynomial rings and quantum groups
• Finite-dimensional simple modules over certain iterated skew polynomial rings
• Derivations and integral closure
• Non-Commutative Unique Factorisation Rings
• Ore Extensions and Polycyclic Group Rings

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