Gröbner–Shirshov bases method for Gelfand–Dorfman–Novikov algebras
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Publication:2958465
DOI10.1142/S0219498817500013zbMath1405.17060arXiv1506.03466MaRDI QIDQ2958465
Yuqun Chen, Zerui Zhang, Leonid A. Bokut'
Publication date: 2 February 2017
Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1506.03466
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) Word problems (aspects of algebraic structures) (08A50) Lie-admissible algebras (17D25)
Related Items (17)
Some examples of nonassociative coalgebras and supercoalgebras ⋮ A wild automorphism of a free Novikov algebra ⋮ Compatible left-symmetric algebraic structures on high rank Witt and Virasoro algebras ⋮ On the embedding of left-symmetric algebras into differential Perm-algebras ⋮ Noncommutative Novikov algebras ⋮ Differential antisymmetric infinitesimal bialgebras, coherent derivations and Poisson bialgebras ⋮ Conformal envelopes of Novikov-Poisson algebras ⋮ On the Special Identities of Gelfand–Dorfman Algebras ⋮ On pre-Novikov algebras and derived Zinbiel variety ⋮ On universal conformal envelopes for quadratic Lie conformal algebras ⋮ Some new results on Gröbner–Shirshov bases for Lie algebras and around ⋮ Gröbner-Shirshov bases for free Gelfand-Dorfman-Novokov algebras and for right ideals of free right Leibniz algebras ⋮ Unnamed Item ⋮ Free Gelfand–Dorfman–Novikov superalgebras and a Poincaré–Birkhoff–Witt type theorem ⋮ Quadratic Lie conformal superalgebras related to Novikov superalgebras ⋮ Gelfand-Dorfman algebras, derived identities, and the Manin product of operads ⋮ Novikov commutator algebras are special
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