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1. On the semigroups of endomorphisms of direct products of commutative Moufang loops.

Author

Lupasçço, N. T. and Sandu, N. I.

Subjects
*SEMIGROUPS of endomorphisms, *COMMUTATIVE algebra, *MOUFANG loops, *MATHEMATICAL decomposition, *ISOMORPHISM (Mathematics), *HOLOMORPHIC functions, *REPRESENTATIONS of algebras
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. [ABSTRACT FROM AUTHOR]

Published
2011
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