An application of lattice basis reduction to polynomial identities for algebraic structures

DOI10.1016/j.laa.2008.09.003zbMath1173.17001OpenAlexW2035855915MaRDI QIDQ959868

Murray R. Bremner, Luiz Antonio Peresi

Publication date: 12 December 2008

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2008.09.003

zbMATH Keywords

polynomial identitiesHermite normal formLLL algorithmnonassociative algebralattice basis reductiontrilinear operations

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Computational methods for problems pertaining to nonassociative rings and algebras (17-08) Ternary compositions (17A40)

Related Items (13)

Special identities for the pre-Jordan product in the free dendriform algebra ⋮ On tortkara triple systems ⋮ Jordan quadruple systems ⋮ Higher polynomial identities for mutations of associative algebras ⋮ One-parameter deformations of the diassociative and dendriform operads ⋮ Special identities for comtrans algebras ⋮ Lie Invariants in Two and Three Variables ⋮ Polynomial Identities for Tangent Algebras of Monoassociative Loops ⋮ The simple non-Lie Malcev algebra as a Lie-Yamaguti algebra ⋮ Lie and Jordan Products in Interchange Algebras ⋮ Symmetrization of Jordan dialgebras ⋮ Dendriform Analogues of Lie and Jordan Triple Systems ⋮ A retrospect of the research in nonassociative algebras in IME-USP

Cites Work

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• Factoring polynomials with rational coefficients
• Identities for generalized Lie and Jordan products on totally associative triple systems
• Classification of Trilinear Operations

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