ON THE VARIETY OF STRICT PSEUDOSEMILATTICES

• Type: Article in International Scientific Journal
• Date: 2013

Authors

Auinger, K (Author) Other; Oliveira, L (Author) FCUP

Journal

Title: Studia Scientiarum Mathematicarum Hungarica

Vol. 50 No. 2

Pages: 207-241

ISSN: 0081-6906

Publisher: Akademiai Kiado

Indexing

ISI Web of Knowledge - 4 Citations

Scopus - 5 Citations

Scientific classification

FOS: Natural sciences > Mathematics

CORDIS: Physical sciences > Mathematics > Algebra

Other information

Authenticus ID: P-006-ADJ

DOI: 10.1556/sscmath.50.2013.2.1237

Abstract (EN): A new model, in terms of finite bipartite graphs, of the free pseudosemilattice is presented. This will then be used to obtain several results about the variety SPS of all strict pseudosemilattices: (i) an identity basis for SPS is found, (ii) SPS is shown to be inherently non-finitely based, (iii) SPS is shown to have no irredundant identity basis, and (iv) SPS is shown to have no covers and to be boolean AND-prime in the lattice of all varieties of pseudosemilattices. Some applications to e-varieties of locally inverse semigroups are also derived.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 35