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On the semigroups of endomorphisms of direct products of commutative Moufang loops
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N. T. Lupasço
Published/Copyright:
March 29, 2011
Abstract
In this paper it is proved that the semigroup of endomorphisms of a commutative Moufang loop (CML) which admits a decomposition into the direct product of its subloops is isomorphic to the semigroup of M, M-matrices. We introduce the notion of the holomorph of a CML which admits a direct decomposition and give the matrix representation of the holomorph.
Received: 2007-11-08
Published Online: 2011-03-29
Published in Print: 2011-March
© de Gruyter 2011
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