The Freiheitssatz for generic Poisson algebras

DOI10.3842/SIGMA.2014.115zbMath1346.17003arXiv1405.7122MaRDI QIDQ2339235

Leonid G. Makar-Limanov, Pavel Sergeevich Kolesnikov, Ivan Pavlovic Shestakov

Publication date: 31 March 2015

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1405.7122

zbMATH Keywords

FreiheitssatzPoisson algebrageneric Poisson algebra

Mathematics Subject Classification ID

Poisson algebras (17B63) Nonassociative algebras satisfying other identities (17A30) Free nonassociative algebras (17A50)

Related Items (9)

Free generic Poisson fields and algebras ⋮ Primitive and almost primitive elements of Schreier varieties ⋮ Transposed Poisson structures ⋮ Representations via differential algebras and equationally Noetherian algebras ⋮ Identities for deformation quantizations of almost Poisson algebras ⋮ On Customary Spaces of Leibniz –Poisson Algebras ⋮ Existentially closed Leibniz algebras and an embedding theorem ⋮ The Freiheitssatz and automorphisms for free brace algebras ⋮ A retrospect of the research in nonassociative algebras in IME-USP

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