On loops with universal elasticity
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SYRBU, Parascovia. On loops with universal elasticity. In: Quasigroups and Related Systems, 1996, nr. 1(3), pp. 41-54. ISSN 1561-2848.
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Quasigroups and Related Systems
Numărul 1(3) / 1996 / ISSN 1561-2848

On loops with universal elasticity

Pag. 41-54

Syrbu Parascovia
 
Institute of Mathematics and Computer Science ASM
 
Proiecte:
 
Disponibil în IBN: 11 mai 2016


Rezumat

A property P of a loop Q(¢) is called universal for Q(¢) if it holds in every loop isotopic to Q(¢) ([1,2]). Loops with universal law of elasticity are considered in this article. Necessary and su_cient conditions for a commutative IP-loop with universal elasticity to be a Moufang loop are proved.