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On generalization of the notion of Moufang loop to n-ary case
Authors: V.I. Onoi, L.A. Ursu
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Abstract
Using isotopical approach we generalize concept of binary Moufang loop on $n$-ary ($n>2$) case. We give two examples of ternary Moufang loop which are not a ternary group.V.I. Onoi
Institute of Mathematics and Computer Science
str. Academiei 5, MD-2028, Chisinau
Moldova
E-mail:
L.A. Ursu
Moldova State Technical University
Bul. S ¸tefan cel Mare ¸ si Sfint 168, MD-2004, Chi¸ sin˘ au
Moldova
E-mail:
Institute of Mathematics and Computer Science
str. Academiei 5, MD-2028, Chisinau
Moldova
E-mail:
L.A. Ursu
Moldova State Technical University
Bul. S ¸tefan cel Mare ¸ si Sfint 168, MD-2004, Chi¸ sin˘ au
Moldova
E-mail:
Fulltext
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Contents
- Finite 2-groups with a non-Dedekind non-metacyclic norm of Abelian non-cyclic subgroups
- n-Torsion Regular Rings
- On invariant submanifolds of S-manifolds
- On fully idempotent semimodules
- On generalization of the notion of Moufang loop to n-ary case
- Finite Non-commutative Associative Algebras for Setting the Hidden Discrete Logarithm Problem and Post-quantum Cryptoschemes on its Base
- On the number of topologies on countable fields
- Isohedral tilings by 14-, 16- and 18-gons for hyperbolic translation group of genus two
- A note on almost contact metric 2- and 3-hypersurfaces in W_4-manifolds
- Morita contexts and closure operators in modules
- Examples of bipartite graphs which are not cyclically-interval colorable
- Academician Vladimir Arnautov 80th anniversary
