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On nilpotent subsemigroups in some matrix semigroups

Olexandr Ganyushkin, Volodymyr Mazorchuk

math.GRarXiv:math/0510622

Abstract

We describe maximal nilpotent subsemigroups of a given nilpotency class in the semigroup Ωn of all n× n real matrices with non-negative coefficients and the semigroup Dn of all doubly stochastic real matrices.

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