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1.
L- and R-cross-section in the Brauer semigroup
Ganna 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: 5188; Downloads: 155
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2.
The structure of automorphism groups of semigroup inflations
Ganna Kudryavtseva, 2007, original scientific article

Abstract: We prove that the automorphism group of a semigroup being an inflation of its proper subsemigroup decomposes into a semidirect product of two groups one of which is a direct sum of full symmetric groups.
Keywords: matematika, algebra, polgrupe, grupe avtomorfizmov polgrup, podpolgrupe, poldirektni produkt
Published in RUNG: 15.10.2013; Views: 4975; Downloads: 31
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3.
On presentations of Brauer-type monoids
Ganna Kudryavtseva, Volodymyr Mazorchuk, 2006, original scientific article

Keywords: matematika, polgrupe
Published in RUNG: 15.10.2013; Views: 4760; Downloads: 34
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