On nilpotent subsemigroups in some matrix semigroups
Olexandr Ganyushkin, Volodymyr Mazorchuk · arXiv (Cornell University) · 2005
We describe maximal nilpotent subsemigroups of a given nilpotency class in the semigroup $Ω_n$ of all $n\times n$ real matrices with non-negative coefficients and the semigroup $\mathbf{D}_n$ of all doubly stochastic real matrices.