Invariant polynomials of Ore extensions by $q$-skew derivations
DOI10.1090/S0002-9939-2012-11268-7zbMath1282.16031OpenAlexW2082403980WikidataQ57787809 ScholiaQ57787809MaRDI QIDQ2846728
Tsiu-Kwen Lee, Cheng-Kai Liu, Chen-Lian Chuang
Publication date: 3 September 2013
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/s0002-9939-2012-11268-7
Ordinary and skew polynomial rings and semigroup rings (16S36) Prime and semiprime associative rings (16N60) Derivations, actions of Lie algebras (16W25) Special polynomials in general fields (12E10) Ore rings, multiplicative sets, Ore localization (16U20)
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Cites Work
- Identities with a single skew derivation.
- Prime and principal closed ideals in polynomial rings
- Higher derivations of Ore extensions by \(q\)-skew derivations.
- On the structure of semi-invariant polynomials in Ore extensions.
- Prime ideals in differential operator rings and crossed products of infinite groups
- The extended centroid and \(X\)-inner automorphisms of Ore extensions
- Algebraic \(q\)-skew derivations.
- Ore extensions which are GPI-rings.
- Prime ideals of ore extensions
- Derivations and Skew Polynomial Rings
- Prime Ideals in Skew Polynomial Rings of Derivation Type
- When are all prime ideals in an ore extension goldie?
- Prime Ideals in Enveloping Rings
- Skew derivations of prime rings
- Finite-Dimensional Division Algebras over Fields
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