Pointlike sets with respect to R and J

• Type: Article in International Scientific Journal
• Date: 2008

Authors

Jorge Almeida (Author) FCUP; Jose Carlos Costa (Author) Other; Marc Zeitoun (Author) Other

Journal

Title: Journal of Pure and Applied Algebra

Vol. 212

Pages: 486-499

ISSN: 0022-4049

Publisher: Elsevier

Indexing

ISI Web of Knowledge - 9 Citations

Scopus - 11 Citations

Scientific classification

FOS: Natural sciences > Mathematics

Other information

Authenticus ID: P-004-18Q

DOI: 10.1016/j.jpaa.2007.06.007

Abstract (EN): We present an algorithm to compute the pointlike subsets of a finite semigroup with respect to the pseudovariety R of all finite R-trivial semigroups. The algorithm is inspired by Henckell's algorithm for computing the pointlike subsets with respect to the pseudovariety of all finite aperiodic semigroups. We also give an algorithm to compute J-pointlike sets, where J denotes the pseudovariety of all finite J-trivial semigroups. We finally show that, in contrast with the situation for R, the natural adaptation of Henckell's algorithm to J computes pointlike sets, but not all of them.

Language: English

Type (Professor's evaluation): Scientific