On WIP loops
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2023-11-07 11:51
SM ISO690:2012
ASIF, Ali, KHAN, Hasib. On WIP loops. In: Quasigroups and Related Systems, 2012, vol. 20, nr. 1(27), pp. 11-20. ISSN 1561-2848.
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Quasigroups and Related Systems
Volumul 20, Numărul 1(27) / 2012 / ISSN 1561-2848

On WIP loops

Pag. 11-20

Asif Ali, Khan Hasib
 
Allama Iqbal Open University
 
 
Disponibil în IBN: 25 februarie 2014


Rezumat

A weak inverse property loop (WIP loop) is a loop L that satises x(yx) = y or (xy)x = y for all x, y 2 L. In this paper we prove some necessary and sucient conditions for a WIP loop to be LC, RC, left alternative, right alternative, and C-loop. We also construct innite families of WIP loops of various orders.

Cuvinte-cheie
WIP loop, C-loop, ARIF loop, LC-loop, RC-loop