The commutative Moufang loops with minimum conditions for subloops I

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dc.creatorSandu, N. I.
dc.date2008-04-24
dc.date.accessioned2026-07-07T09:35:01Z
dc.date.available2026-07-07T09:35:01Z
dc.descriptionThe 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.
dc.description18 pages
dc.identifierhttps://arxiv.org/abs/0804.3956
dc.identifierhttp://arxiv.org/abs/0804.3956
dc.identifierBuletinul Academiei de Stiinte a Republicii Moldova. Matematica, 2003, 3(43), pp. 25-40
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/159698
dc.subjectRings and Algebras
dc.subject20N05
dc.titleThe commutative Moufang loops with minimum conditions for subloops I
dc.typetext

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