The Membership Problem for Ideals of Binomial Skew Polynomial Rings

DOI10.1081/AGB-120016751zbMath1051.16015MaRDI QIDQ4803344

Mingsheng Wang, Zhuo-Jun Liu, Jin-wang Liu

Publication date: 2 April 2003

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

zbMATH Keywords

skew polynomial ringsGröbner basesmembership problemfinitely presented algebrasfinitely generated idealsbinomial rings

Mathematics Subject Classification ID

Ordinary and skew polynomial rings and semigroup rings (16S36) Finite generation, finite presentability, normal forms (diamond lemma, term-rewriting) (16S15) Ideals in associative algebras (16D25) Computational aspects of associative rings (general theory) (16Z05) Applications of logic in associative algebras (16B70)

Cites Work

• Skew polynomial rings with binomial relations
• Binomial semigroups
• An introduction to commutative and noncommutative Gröbner bases
• Noetherian Properties of Skew Polynomial Rings with Binomial Relations

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