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math.GR2010★ 23 cited
On Kiselman quotients of 0-Hecke monoids
Olexandr Ganyushkin, Volodymyr Mazorchuk
Combining the definition of 0-Hecke monoids with that of Kiselman semigroups, we define what we call Kiselman quotients of 0-Hecke monoids associated with simply laced Dynkin diagr…
math.GR2005★ 2 cited
On nilpotent subsemigroups in some matrix semigroups
Olexandr Ganyushkin, Volodymyr Mazorchuk
We describe maximal nilpotent subsemigroups of a given nilpotency class in the semigroup of all real matrices with non-negative coefficients and the semigroup $\m…