A Munn tree type representation for the elements of the bifree locally inverse semigroup

TitleA Munn tree type representation for the elements of the bifree locally inverse semigroup
Publication TypePreprint
Year of Preprint2016
AuthorsOliveira L
Abstract

The Munn tree representation for the elements of the free inverse monoid is an elegant and useful tool in the theory of inverse semigroups. It has been the base point for many of the subsequent developments in this theory. In the present paper we generalize this representation for the elements of the bifree locally inverse semigroup. We shall represent each element of the bifree locally inverse semigroup as a undirected tree whose vertices, called blocks, are special vertex-labeled graphs themselves. Another distinctive characteristic of these graphs is that they have different types of edges.

[2016-6]

Area / Group: 

Semigroups, Automata and Languages