Varieties of rectangular quasigroups
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KRAPEZ, Aleksandar. Varieties of rectangular quasigroups. In: Quasigroups and Related Systems, 2012, vol. 20, nr. 1(27), pp. 71-80. ISSN 1561-2848.
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Quasigroups and Related Systems
Volumul 20, Numărul 1(27) / 2012 / ISSN 1561-2848

Varieties of rectangular quasigroups

Pag. 71-80

Krapez Aleksandar
 
Mathematical Institute of the Serbian Academy of Sciences and Arts
 
 
Disponibil în IBN: 25 februarie 2014


Rezumat

For the given variety V of quaisgroups, the class of all rectangular Vquasigroups is dened as the class of all groupoids isomorphic to L × Q × R, where Q 2 V and L(R) is a left (right) zero semigroup. The identities axiomatizing the new class are given, proving that it is a variety in the language of the original variety.

Cuvinte-cheie
rectangular Vquasigroup, axiomatization, axiom independence. Supported by the Ministry of Education and Science of Serbia, grants 174008 and 174026