$\mathcal{L}$-- and $\mathcal{R}$--cross-sections in the Brauer semigoup

Ganna Kudryavtseva, Victor Maltcev, Volodymyr Mazorchuk

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…