PRIMALITY TEST IN ITERATED ORE EXTENSIONS

DOI10.1081/AGB-100001690zbMath0991.16023OpenAlexW2021032287MaRDI QIDQ2752370

José L. Bueso, F. J. Lobillo, José Gómez-Torrecillas, F. J. Brito Castro

Publication date: 5 May 2002

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1081/agb-100001690

zbMATH Keywords

algorithmsprime idealsiterated Ore extensionsrings of differential operatorsprimality testiterated skew polynomial rings

Mathematics Subject Classification ID

Ordinary and skew polynomial rings and semigroup rings (16S36) Rings of differential operators (associative algebraic aspects) (16S32) Ideals in associative algebras (16D25) Computational aspects of associative rings (general theory) (16Z05)

Related Items (5)

A DOMAIN TEST FOR LIE COLOR ALGEBRAS ⋮ Basic Module Theory over Non-commutative Rings with Computational Aspects of Operator Algebras ⋮ Generic Lie colour algebras ⋮ Elimination orderings and localization in PBW algebras. ⋮ Simplicity of iterated Ore extensions

Cites Work

• Unnamed Item
• Non-commutative Gröbner bases in algebras of solvable type
• Differential operator rings whose prime factors have bounded Goldie dimension
• Gröbner bases and primary decomposition of polynomial ideals
• Prime ideals in skew polynomial rings and quantized Weyl algebras
• PBW-bases of quantum groups.

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