Menger algebras of associative and self-distributive n-ary operations
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Algebra (410)
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DUDEK, Wieslaw, TROKHIMENKO, Valentin. Menger algebras of associative and self-distributive n-ary operations. In: Quasigroups and Related Systems, 2018, vol. 26, nr. 1(39), pp. 45-52. ISSN 1561-2848.
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Quasigroups and Related Systems
Volumul 26, Numărul 1(39) / 2018 / ISSN 1561-2848

Menger algebras of associative and self-distributive n-ary operations

CZU: 512.54+512.548
MSC 2010: 20N05,08A05

Pag. 45-52

Dudek Wieslaw1, Trokhimenko Valentin2
 
1 Wroclaw University of Technology,
2 Vinnytsia Mykhailo Kotsiubynskyi State Pedagogical University
 
 
Disponibil în IBN: 17 august 2018


Rezumat

The necessary and su_cient conditions under which a Menger algebra of rank n can be isomorphically represented by associative or (i; j)-associative n-ary operations are given. Also the conditions under which a Menger algebra of rank n can be homomorphically represented by self-distributive n-ary operations are found.

Cuvinte-cheie
Algebraofmultiplacefunctions, , Mengeralgebra.

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