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

Tuesday, May 26, 2015, 18:45
Wrocław University of Technology, 215 D-1

Speaker: Inna Pozdniakova (National University of Lviv)

Title: On monoidsof 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.