IMI/Publicaţii/BASM/Ediţii/BASM n.3 (43), 2003/

The commutative Moufang loops with minimum conditions for subloops I. (English)

Authors: N.I. Sandu


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.

State Agrarian University of Moldova
str. Mirceshti 44, Kishinev,
MD-2028, Moldova


Adobe PDF document0.17 Mb