Classification of indecomposable states on the infinite symmetric inverse semigroup invariant under the infinite symmetric group. Semifinite case

Artem Dudko, Nikolay I. Nessonov

Let $\mathbb{N}$ be a set of the natural numbers. Symmetric inverse semigroup $R_{\infty }$ is the semigroup of all infinite 0-1 matrices $[g_{ij}]$ with at most one 1 in each row and…