Institutul de Matematică şi Informatică "Vladimir Andrunachievici"
Universitatea de Stat din MoldovaRO EN
A note on the Akivis algebra of a smooth hyporeductive loop
Authors: Issa A. N.
– 0.19 Mb
Abstract
Using the fundamental tensors of a smooth loop and the di_erential geometric characterization of smooth hyporeductive loops, the Akivis operations of a local smooth hyporeductive loop are expressed through the two binary and the one ternary operations of the hyporeductive triple algebra (h.t.a.) associated with the given hyporeductive loop. Those Akivis operations are also given in terms of Lie brackets of a Lie algebra of vector fields with the hyporeductive decomposition which generalizes the reductive decomposition of Lie algebras. A nontrivial real two-dimensional h.t.a. is presented.Issa A. N.
Département de Mathématiques, FAST,
Université d'Abomey-Calavi,
01 BP 4521, Cotonou 01,
Bénin.
and
The Abdus Salam International Centre for Theoretical Physics,
Strada Costiera 11, 34014 Trieste, Italy.
Département de Mathématiques, FAST,
Université d'Abomey-Calavi,
01 BP 4521, Cotonou 01,
Bénin.
and
The Abdus Salam International Centre for Theoretical Physics,
Strada Costiera 11, 34014 Trieste, Italy.
Fulltext
– 0.19 Mb
Contents
- Quasigroup power sets and cyclic S-systems
- The topological quasigroups with multiple identities
- Product of the symmetric group with the alternating group on seven letters
- Rough set theory applied to BCI-algebras
- A note on the Akivis algebra of a smooth hyporeductive loop
- A note on trimedial quasigroups
- Transversals in groups. 4. Derivation construction
- Dual positive implicative hyper K-ideals of type 3
