The commutative Moufang loops with minimum conditions for subloops I
| Autor: | Sandu, N. I. |
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| Rok vydání: | 2008 |
| Předmět: | |
| Zdroj: | Buletinul Academiei de Stiinte a Republicii Moldova. Matematica, 2003, 3(43), pp. 25-40 |
| Druh dokumentu: | Working Paper |
| Popis: | 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 multiplication groups. Comment: 18 pages |
| Databáze: | arXiv |
| Externí odkaz: |
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