The globals of pseudovarieties of ordered semigroups containing B-2 and an application to a problem proposed by pin

• Type: Article in International Scientific Journal
• Date: 2005

Authors

Almeida, J (Author) FCUP; Escada, AP (Author) Other

Journal

Title: RAIRO - Theoretical Informatics and Applications

Vol. 39

Pages: 1-29

ISSN: 0988-3754

Publisher: EDP Sciences

Indexing

ISI Web of Knowledge - 0 Citations

Scopus - 2 Citations

Scientific classification

FOS: Natural sciences > Computer and information sciences

Other information

Authenticus ID: P-000-6P8

DOI: 10.1051/ita:2005001

Abstract (EN): Given a basis of pseudoidentities for a pseudovariety of ordered semigroups containing the 5-element aperiodic Brandt semigroup B-2, under the natural order, it is shown that the same basis, over the most general graph over which it can be read, defines the global. This is used to show that the global of the pseudovariety of level 3/2 of Straubing-Therien's concatenation hierarchy has infinite vertex rank.

Language: English

Type (Professor's evaluation): Scientific