On algebras of skew polynomials generated by quadratic homogeneous relations.

DOI10.1007/S10958-005-0311-ZzbMath1144.16311OpenAlexW2016758683MaRDI QIDQ937858

A. V. Golovashkin, Valeri M. Maksimov

Publication date: 18 August 2008

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-005-0311-z

zbMATH Keywords

relationsskew polynomial extensionsgenerating systemsPoincaré-Birkhoff-Witt bases

Mathematics Subject Classification ID

Ordinary and skew polynomial rings and semigroup rings (16S36) Finite generation, finite presentability, normal forms (diamond lemma, term-rewriting) (16S15)

Related Items (1)

On weak annihilators and nilpotent associated primes of skew PBW extensions

Cites Work

• Some algebraic structures connected with the Yang-Baxter equation. Representations of quantum algebras
• Linear equations in non-commutative fields
• Canonical forms of skew polynomial rings.
• A generalization of the ring of Ore skew polynomials
• Skew Ore polynomials of higher order generated by homogenous quadratic relations
• Über Orthogonalpolynome, die q‐Differenzengleichungen genügen
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