Commutative Moufang loops with maximum conditions for subloops
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SM ISO690:2012
BABII, Aliona, SANDU, Nicolae. Commutative Moufang loops with maximum conditions for subloops. In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2006, nr. 2(51), pp. 53-61. ISSN 1024-7696.
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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica
Numărul 2(51) / 2006 / ISSN 1024-7696 /ISSNe 2587-4322

Commutative Moufang loops with maximum conditions for subloops

Pag. 53-61

Babii Aliona, Sandu Nicolae
 
Tiraspol State University
 
 
Disponibil în IBN: 18 decembrie 2015


Rezumat

It is proved that the maximum condition for subloops in a commutative Moufang loop Q is equivalent with conditions of the finite generating of different subloops of the loop Q and different subgroups of the multiplication group of the loop Q. An analogue equivalence is set for commutative Moufang ZA-loops

Cuvinte-cheie
Commutative Moufang loop,

multiplication group of loop, maximum condition for subloops.