Extensions and tangent prolongations of differentiable loops

DOI10.1016/j.jalgebra.2022.12.010OpenAlexW4313334500MaRDI QIDQ2682810

Péter T. Nagy, Ágota Figula

Publication date: 1 February 2023

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2022.12.010

zbMATH Keywords

abelian extensiondifferentiable loopsAkivis algebrabinary-ternary algebraSabinin algebra of degree 3tangent prolongation of differentiable loops

Mathematics Subject Classification ID

Loops, quasigroups (20N05) Other nonassociative rings and algebras (17D99)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Commutator theory for loops.
• Nilpotent Sabinin algebras
• Algebras, hyperalgebras, nonassociative bialgebras and loops
• Loops which are semidirect products of groups.
• Lie's fundamental theorems for local analytical loops
• Local algebras of a multidimensional three-web
• Every Akivis algebra is linear
• Differentiability of continuous homomorphisms between smooth loops
• Circuits and expressions with nonassociative gates
• Free Akivis algebras, primitive elements, and hyperalgebras
• Affine extensions of loops.
• Introduction to differentiable manifolds.
• Abelian extensions and solvable loops.
• Nuclear properties of loop extensions
• On Free Sabinin Algebras
• Schreier loops
• Loops and semidirect products
• On loop extensions satisfying one single identity and cohomology of loops
• Tangent prolongation of $\mathcal{C}^r$-differentiable loops
• Hopf algebras in non-associative Lie theory
• Polynomial Identities for Tangent Algebras of Monoassociative Loops
• Local algebras of a differential quasigroup
• Inverse property of nonassociative abelian extensions
• Loops in group theory and Lie theory

This page was built for publication: Extensions and tangent prolongations of differentiable loops