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On nilpotent subsemigroups in some matrix semigroups

Olexandr Ganyushkin·Volodymyr Mazorchuk
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Abstract

We describe maximal nilpotent subsemigroups of a given nilpotency class in the semigroup $\Omega_n$ of all $n\times n$ real matrices with non-negative coefficients and the semigroup $\mathbf{D}_n$ of all doubly stochastic real matrices.

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Olexandr Ganyushkin, Volodymyr Mazorchuk. 2005-10-28. On nilpotent subsemigroups in some matrix semigroups. https://arxiv.org/abs/math/0510622

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