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

• Type: Article in International Scientific Journal
• Date: 2017

Authors

Luís Oliveira (Author) FCUP

Journal

Title: Monatshefte für Mathematik

Vol. 183 No. 4

Pages: 653-678

ISSN: 0026-9255

Publisher: Springer Nature

Indexing

ISI Web of Knowledge - 2 Citations

Scopus - 2 Citations

Scientific classification

CORDIS: Physical sciences > Mathematics

Other information

Authenticus ID: P-00K-PXC

DOI: 10.1007/s00605-016-0952-7

Abstract (EN): 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 starting 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 will represent each element of the bifree locally inverse semigroup as an 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.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 26