Geodesic
On the semigroups of endomorphisms of direct products of commutative Moufang loops
Diskretnaya Matematika, Tome 23 (2011) no. 1, pp. 84-93

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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. 
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     author = {N. T. Lupas\c{c}o and N. I. Sandu},
     title = {On the semigroups of endomorphisms of direct products of commutative {Moufang} loops},
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N. T. Lupasço; N. I. Sandu. On the semigroups of endomorphisms of direct products of commutative Moufang loops. Diskretnaya Matematika, Tome 23 (2011) no. 1, pp. 84-93. http://geodesic.mathdoc.fr/item/DM_2011_23_1_a6/