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| Ultima descărcare din IBN: 2023-01-12 18:55 |
 SM ISO690:2012LUPASHCO, Natalia. On commutative Moufang loops with some restrictions for subloops and subgroups of its multiplication groups. In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2009, nr. 3(61), pp. 52-56. ISSN 1024-7696. |
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| Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica | ||||||
| Numărul 3(61) / 2009 / ISSN 1024-7696 /ISSNe 2587-4322 | ||||||
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| Pag. 52-56 | ||||||
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It is proved that if an infinite commutative Moufang loop L has such an infinite subloop H that in L every associative subloop which has with H an infinite intersection is a normal subloop then the loop L is associative. It is also proved that
if the multiplication group M of infinite commutative Moufang loop L has such an
infinite subgroup N that in M every abelian subgroup which has with N an infinite
intersection is a normal subgroup then the loop L is associative. |
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| Cuvinte-cheie Commutative Moufang loop, multiplication group, infinite associative subloop, infinite abelian subgroup. |
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