Polynomial Identities for Tangent Algebras of Monoassociative Loops

DOI10.1080/00927872.2012.709567zbMath1298.17002arXiv1111.6113OpenAlexW1968821763MaRDI QIDQ5409777

Murray R. Bremner, Sara Madariaga Merino

Publication date: 14 April 2014

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1111.6113

zbMATH Keywords

computer algebrapolynomial identitiesSabinin algebrasmultilinear operationspower-associative algebrasrepresentation theory of the symmetric groupmonoassociative loops

Mathematics Subject Classification ID

Loops, quasigroups (20N05) Power-associative rings (17A05) Free nonassociative algebras (17A50)

Related Items (5)

Extensions and tangent prolongations of differentiable loops ⋮ On -Jordan Lie triple systems ⋮ Unnamed Item ⋮ Hopf algebras in non-associative Lie theory ⋮ Variety of Hom-Sabinin algebras and related algebra subclasses

Cites Work

• Nonhomogeneous subalgebras of Lie and special Jordan superalgebras
• Classification of multidimensional three-webs by closure conditions
• Algebras, hyperalgebras, nonassociative bialgebras and loops
• An application of lattice basis reduction to polynomial identities for algebraic structures
• An envelope for Malcev algebras.
• Free Akivis algebras, primitive elements, and hyperalgebras
• An envelope for Bol algebras
• On a problem of Chern-Akivis-Shelekhov on hexagonal three-webs
• Quasigroups, nets, and nomograms
• On Free Sabinin Algebras
• Special Identities for Quasi-Jordan Algebras
• Web geometry
• Classification of Trilinear Operations
• Local algebras of a differential quasigroup

This page was built for publication: Polynomial Identities for Tangent Algebras of Monoassociative Loops