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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2003, номер 3, страницы 25–40
(Mi basm204)
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Эта публикация цитируется в 7 научных статьях (всего в 7 статьях)
Research articles
The commutative Moufang loops with minimum conditions for subloops I
N. I. Sandu State Agricultural University of Moldova, Chişinău, Moldova
Аннотация:
The structure of the commutative Moufang loops (CML) with minimum condition for subloops is examined. In particular it is proved that such a CML $Q$ is a finite extension of a direct product of a finite number of the quasicyclic groups, lying in the centre of the CML $Q$. It is shown that the minimum conditions for subloops and for normal subloops are equivalent in a CML. Moreover, such CML also characterized by different conditions of finiteness of its multiplicative groups.
Ключевые слова и фразы:
Commutative Moufang loop, multiplicative group of loop, minimum condition for subloops, minimum condition for normal subloops.
Поступила в редакцию: 11.03.2003
Образец цитирования:
N. I. Sandu, “The commutative Moufang loops with minimum conditions for subloops I”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2003, no. 3, 25–40
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/basm204 https://www.mathnet.ru/rus/basm/y2003/i3/p25
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Страница аннотации: | 196 | PDF полного текста: | 45 | Список литературы: | 38 | Первая страница: | 1 |
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