Title
Free Profinite R-Trivial Monoids
Abstract
This article is concerned with the structure of semigroups of implicit operations on R, the pseudovariety of all R-trivial semigroups. We give two complementary descriptions for these semigroups: first by means of labeled ordinals, and second by means of labeled infinite trees of finite depth. In the first representation, the product of implicit operations has a simple characterization In the second one, the topology on implicit operations is best visible. A similar study is conducted for the implicit operations on DRG, the non-aperiodic analogue of R. This leads to a description of the corresponding variety of recognizable languages and to the computation of certain joins of pseudovarieties.
Year
DOI
Venue
1997
10.1142/S0218196797000289
INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION
Field
DocType
Volume
Discrete mathematics,Joins,Algebra,Ordinal number,Monoid,Special classes of semigroups,Mathematics,Computation
Journal
7
Issue
ISSN
Citations 
5
0218-1967
2
PageRank 
References 
Authors
0.44
0
2
Name
Order
Citations
PageRank
J. Almeida16115.24
P. Weil219813.16