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On the semigroups of endomorphisms of direct products of commutative Moufang loops
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N. T. Lupasço
Veröffentlicht/Copyright:
29. März 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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Artikel in diesem Heft
- On the maximum size of a tree in a random unlabelled unrooted forest
- Asymptotic normality of the number of values of m-dependent random variables which occur a given number of times
- Limit theorems for the joint distribution of component sizes of a random mapping with a known number of components
- A combinatorial approach to calculation of moments of characteristics of runs in ternary Markov sequences
- The critical ω-foliated τ-closed formations of finite groups
- On the semigroups of endomorphisms of direct products of commutative Moufang loops
- The Voronoi polyhedra of the rooted lattice E6 and of its dual lattice
- Calculation of the characteristic polynomial of a matrix
- A case of insolubility of the problem of equivalence of programs
