Inna Pozdniakova

# Inna Pozdniakova: On monoids of monotone injective partial selfmaps of \(L_n\times_{\operatorname{lex}}\mathbb{Z}\) with co-finite domains and images

21/05/15 17:01

Tuesday,

**May 26**, 2015**18:45***Room:*D1-215*Inna Pozdniakova*

Speaker:Speaker:

*Title*: On monoids of monotone injective partial selfmaps of \(L_n\times_{\operatorname{lex}}\mathbb{Z}\) with co-finite domains and images*Abstract*. The speaker will discuss on the structure of the semigroup \(\mathscr{I\!O}\!_{\infty}(\mathbb{Z}^n_{\operatorname{lex}})\) of monotone injective partial selfmaps of the set of \(L_n\times_{\operatorname{lex}}\mathbb{Z}\) having co-finite domain and image, where \(L_n\times_{\operatorname{lex}}\mathbb{Z}\) is the lexicographic product of an \(n\)-elements chain and the set of integers with the usual order.