Construction of mono-associative quasigroups
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2019-09-25 16:26
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512.548.7+512.554 (2)
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KHAN, Mehtab; KHAN, Amir. Construction of mono-associative quasigroups. In: Quasigroups and Related Systems. 2019, nr. 1(27), pp. 77-80. ISSN 1561-2848.
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Quasigroups and Related Systems
Numărul 1(27) / 2019 / ISSN 1561-2848

Construction of mono-associative quasigroups


CZU: 512.548.7+512.554
MSC 2010: 20M05.
Pag. 77-80

Khan Mehtab1, Khan Amir2
 
1 Bacha Khan University,
2 University of Swat
 
Disponibil în IBN: 25 august 2019


Rezumat

We construct an innite family of mono-associative quasigroups whose smallest member is of order 4, and an innite family of non-commutative mono-associative quasigroups whose smallest member is of order 6. We also construct an innite family of such quasigroups with left or two-sided identity.

Cuvinte-cheie
quasigroup, mono-associative quasigroup