| Conţinutul numărului revistei |
| Articolul precedent |
| Articolul urmator |
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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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Dublin Core Export
<?xml version='1.0' encoding='utf-8'?> <oai_dc:dc xmlns:dc='http://purl.org/dc/elements/1.1/' xmlns:oai_dc='http://www.openarchives.org/OAI/2.0/oai_dc/' xmlns:xsi='http://www.w3.org/2001/XMLSchema-instance' xsi:schemaLocation='http://www.openarchives.org/OAI/2.0/oai_dc/ http://www.openarchives.org/OAI/2.0/oai_dc.xsd'> <dc:creator>Lupașco, N.</dc:creator> <dc:date>2009-12-01</dc:date> <dc:description xml:lang='en'>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.</dc:description> <dc:source>Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica 61 (3) 52-56</dc:source> <dc:subject>Commutative Moufang loop</dc:subject> <dc:subject>multiplication group</dc:subject> <dc:subject>infinite associative subloop</dc:subject> <dc:subject>infinite abelian subgroup.</dc:subject> <dc:title>On commutative Moufang loops with some restrictions for subloops and subgroups of its multiplication groups</dc:title> <dc:type>info:eu-repo/semantics/article</dc:type> </oai_dc:dc>
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