The commutative Moufang loops with minimum conditions for subloops II

Simple item page
dc.creatorSandu, N. I.
dc.date2008-04-24
dc.date.accessioned2026-07-07T09:35:01Z
dc.date.available2026-07-07T09:35:01Z
dc.descriptionIt is proved that the following conditions are equivalent for an infinite non-associative commutative Moufang loop $Q$: 1) $Q$ satisfies the minimum condition for subloops; 2) if the loop $Q$ contains a centrally solvable subloop of class $s$, then it satisfies the minimum condition for centrally solvable subloops of class $s$; 3) if the loop $Q$ contains a centrally nilpotent subloop of class $n$, then it satisfies the minimum condition for centrally nilpotent subloops of class $n$; 4) $Q$ satisfies the minimum condition for non-invatiant associative subloops. The structure of the commutative Moufang loops, whose infinite non-associative subloops are normal, is examined.
dc.description18 pages
dc.identifierhttps://arxiv.org/abs/0804.3958
dc.identifierhttp://arxiv.org/abs/0804.3958
dc.identifierBuletinul Academiei de Stiinte a Republicii Moldova. Matematica, 2004, 2(45), pp. 33-48
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/159699
dc.subjectRings and Algebras
dc.subject20N05
dc.titleThe commutative Moufang loops with minimum conditions for subloops II
dc.typetext

Files

Collections

arXiv