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L- and R-cross-section in the Brauer semigroupGanna Kudryavtseva,
Victor Maltcev,
Volodymyr Mazorchuk, 2006, original scientific article
Abstract: We classify all cross-sections of Green's relations ▫$\mathcal{L}$▫ and ▫$\mathcal{R}$▫ in the Brauer semigroup. The regular behavior of such cross-sections starts from ▫$n=7$▫. We show that in the regular case there are essentially two different cross-sections and all others are ▫$\mathcal{S}_n$▫-conjugated to one of these two. We also classify all cross-sections up to isomorphism.
Keywords: matematika, algebra, polgrupe transformacij, prečni prerezi, Brauerjeva polgrupa, Greenove relacije, ekvivalence
Published in RUNG: 15.10.2013; Views: 6564; Downloads: 157
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