Abstract | ||
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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 |
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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. Almeida | 1 | 61 | 15.24 |
P. Weil | 2 | 198 | 13.16 |