On certain isotopic maps of central loops
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Adeniran, Jhon Olusola [1] ; Oyebo, Yacub Tunde [3] ; Mohamed, Daabo [2]
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[1] University of Agriculture
University of Agriculture
Pakistán
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[2] University for Development Studies
University for Development Studies
Ghana
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[3] Lagos Statet University.
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- Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 30, Nº. 3, 2011, págs. 303-318
- Idioma: inglés
- DOI: 10.4067/S0716-09172011000300003
- Enlaces
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Resumen
It is shown that the Holomorph of a C-loop is a C-loop if each element of the automorphism group of the loops is left nuclear. Condition under which an element of the Bryant-Schneider group of a C-loop will form an automorphism is established. It is proved that elements of the Bryant-Schneider group of a C-loop can be expressed a product ofpseudo-automorphisms and right translations ofelements of the nucleus of the loop. The Bryant-Schneider group of a C-loop is also shown to be a kind of generalized holomorph of the loop.
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Referencias bibliográficas
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