L- and R-cross-section in the Brauer semigroupKudryavtseva, Ganna (Avtor)
Maltcev, Victor (Avtor)
Mazorchuk, Volodymyr (Avtor)
matematikaalgebrapolgrupe transformacijprečni prereziBrauerjeva polgrupaGreenove relacijeekvivalenceWe 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.20062013-10-15 12:45:51Delo ni kategorizirano1190sl