Algebraic properties of some varieties of central loops
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2023-10-11 17:46
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JAIYEOLA, Temitope Gbolahan, OLUSOLAADENIRAN, John. Algebraic properties of some varieties of central loops . In: Quasigroups and Related Systems, 2008, vol. 16, nr. 1(19), pp. 37-54. ISSN 1561-2848.
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Quasigroups and Related Systems
Volumul 16, Numărul 1(19) / 2008 / ISSN 1561-2848

Algebraic properties of some varieties of central loops

Pag. 37-54

Jaiyeola Temitope Gbolahan, OlusolaAdeniran John
 
 
 
Disponibil în IBN: 14 decembrie 2013


Rezumat

Isotopes of C-loops with a unique non-identity squares are studied. It is proved that such loops are C-loops and A-loops. The relationship between C-loops and Steiner loops is further studied. Central loops with the weak and cross inverse properties are also investigated.

Cuvinte-cheie
central loops, central square, weak inverse property, cross inverse property, unique non-identity commutator

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<dc:creator>Jaiyeola, T.</dc:creator>
<dc:creator>OlusolaAdeniran, J.</dc:creator>
<dc:date>2008-01-01</dc:date>
<dc:description xml:lang='en'>Isotopes of C-loops with a unique non-identity squares are studied. It is proved that such loops are C-loops and A-loops. The relationship between C-loops and Steiner loops is further studied. Central loops with the weak and cross inverse properties are also investigated.
</dc:description>
<dc:source>Quasigroups and Related Systems 19 (1) 37-54</dc:source>
<dc:subject>central loops</dc:subject>
<dc:subject>central square</dc:subject>
<dc:subject>weak inverse property</dc:subject>
<dc:subject>cross inverse property</dc:subject>
<dc:subject>unique non-identity commutator</dc:subject>
<dc:title>Algebraic properties of some varieties of central loops
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