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• $\cal L$- and $\cal R$-cross-sections in the Brauer semigroup
Kudryavtseva, Ganna ; Maltcev, Victor ; Mazorchuk, Volodymyr
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.
Vir: Semigroup forum. - ISSN 0037-1912 (Vol. 72, no. 2, 2006, str. 223-248)
Vrsta gradiva - članek, sestavni del
Leto - 2006
Jezik - angleški
COBISS.SI-ID - 874235
vir: Semigroup forum. - ISSN 0037-1912 (Vol. 72, no. 2, 2006, str. 223-248)