Moufang symmetry VI. Reductivity and hidden associativity in Mal'tsev algebras
Eugen Paal
TL;DR
This paper investigates reductivity in Mal'tsev algebras, exploring their connection to Lie triple systems and revealing insights into their algebraic structure.
Contribution
It establishes a link between Mal'tsev algebras and Lie triple systems through reductivity, highlighting hidden associativity properties.
Findings
Reductivity relates Mal'tsev algebras to Lie triple systems
Revealed hidden associativity in Mal'tsev algebras
Enhanced understanding of algebraic structure and symmetry
Abstract
Reductivity in the Ma'tsev algebras is inquired. This property relates the Mal'tsev algebras to the general Lie triple systems.
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Taxonomy
TopicsAdvanced Topics in Algebra · Mathematics and Applications · graph theory and CDMA systems