Constants of formal derivatives of non-associative algebras, Taylor expansions and applications

DOI10.1007/BF02874777zbMath1117.17002arXivmath/0312082OpenAlexW2054135695MaRDI QIDQ996943

Vesselin Drensky, Ralf Holtkamp

Publication date: 19 July 2007

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0312082

Mathematics Subject Classification ID

Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.) (16S10) (T)-ideals, identities, varieties of associative rings and algebras (16R10) Universal enveloping algebras of Lie algebras (16S30) Automorphisms, derivations, other operators (nonassociative rings and algebras) (17A36) Free nonassociative algebras (17A50)

Related Items (3)

Non-associative Gröbner bases ⋮ Constants of partial derivations and primitive operations ⋮ Constants of Weitzenböck derivations and invariants of unipotent transformations acting on relatively free algebras.

Cites Work

• Codimensions of T-ideals and Hilbert series of relatively free algebras
• Taylor expansion of noncommutative polynomials
• Young-derived sequences of \(S_ n\)-characters
• Hopf co-addition for free magma algebras and the non-associative Hausdorff series.
• Hilbert series and non-associative Gröbner bases
• Free Akivis algebras, primitive elements, and hyperalgebras
• Schreier varieties of algebras
• Enumeration of algebras close to absolutely free algebras and binary trees
• Gesetze in Ringen. I
• Konstanzelemente in Ringen mit Differentiation
• T-ideals containing all matrix polynomial identities
• Taylor expansion of noncommutative power series with an application to the Hausdorff series
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