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| Ultima descărcare din IBN: 2022-11-09 10:25 |
 SM ISO690:2012SANDU, Nicolae. The commutative Moufang loops with minimum conditions for subloops I. In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2003, nr. 3(43), pp. 25-40. ISSN 1024-7696. |
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| Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica | ||||||
| Numărul 3(43) / 2003 / ISSN 1024-7696 /ISSNe 2587-4322 | ||||||
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| Pag. 25-40 | ||||||
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| Rezumat | ||||||
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. |
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| Cuvinte-cheie Commutative Moufang loop, multiplicative group of loop, minimum condition for subloops, minimum condition for normal subloops. |
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