Palestrante: Nasim Karimi

In this talk we investigate the minimum length of elements in the minimum ideal of a finite semigroup. We denote this parameter by N(S, A), where A is a generating set of the finite semigroup S, and we call it A-depth of S. Then, we introduce depth parameters for a finite semigroup. We estimate the depth parameters for some families of finite semigroups and give an upper bound for N(S) where S is a wreath product or a direct product of two finite (transformation) monoids. Moreover, we talk about Černý conjecture which is part of our motivation to estimate such kind of parameters.