COMPOSITION-DIAMOND LEMMA FOR λ-DIFFERENTIAL ASSOCIATIVE ALGEBRAS WITH MULTIPLE OPERATORS

DOI10.1142/S0219498810003859zbMath1197.16029arXiv0908.1993WikidataQ125053882 ScholiaQ125053882MaRDI QIDQ3562515

Yuqun Chen, Jianjun Qiu

Publication date: 21 May 2010

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0908.1993

zbMATH Keywords

Gröbner basescomposition-diamond lemma\(\lambda\)-differential associative algebras with multiple operators\(\lambda\)-differential Rota-Baxter algebras

Mathematics Subject Classification ID

Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.) (16S10) Finite generation, finite presentability, normal forms (diamond lemma, term-rewriting) (16S15) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10)

Related Items (7)

Gröbner–Shirshov bases for commutative algebras with multiple operators and free commutative Rota–Baxter algebras ⋮ Unnamed Item ⋮ Gröbner–Shirshov bases for Lie Ω-algebras and free Rota–Baxter Lie algebras ⋮ Free Lie differential Rota–Baxter algebras and Gröbner–Shirshov bases ⋮ Gröbner–Shirshov basis method for multiple tensor products of some associative algebras ⋮ Gröbner–Shirshov bases and their calculation ⋮ Construction of free differential algebras by extending Gröbner-Shirshov bases

Cites Work

• Unnamed Item
• An analytic problem whose solution follows from a simple algebraic identity
• Gröbner-Shirshov bases for associative algebras with multiple operators and free Rota-Baxter algebras.
• The diamond lemma for ring theory
• Baxter algebras and shuffle products
• On free Baxter algebras: Completions and the internal construction
• Rota-Baxter algebras and dendriform algebras.
• On differential Rota-Baxter algebras.
• Ein algorithmisches Kriterium für die Lösbarkeit eines algebraischen Gleichungssystems
• On the structure of free Baxter algebras
• FREE ROTA–BAXTER ALGEBRAS AND ROOTED TREES

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