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 SM ISO690:2012NOVIKOV, Boris. On decomposition of commutative Moufang groupoids
. In: Quasigroups and Related Systems, 2008, vol. 16, nr. 1(19), pp. 97-101. ISSN 1561-2848. |
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| Quasigroups and Related Systems | ||||||
| Volumul 16, Numărul 1(19) / 2008 / ISSN 1561-2848 | ||||||
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| Pag. 97-101 | ||||||
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We prove that every commutative Moufang groupoid is a semilattice of
Archimedean subgroupoids.
It is well-known that the multiplicative groupoid of an alternative/Jordan
algebra satis es Moufang identities [1, 4]. Therefore it seems interesting
to study the structure of such groupoids. In this note we apply to Mo-
ufang groupoids an approach which is widespread in semigroup theory
decomposition into a semilattice of subsemigroups [3].
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| Cuvinte-cheie Moufang groupoid, semilattice, Archimedean groupoid |
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