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

Tuesday, May 26, 2015 18:45

Room: D1-215

Speaker:
Inna Pozdniakova

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.