Title
Complete κ-reducibility of pseudovarieties of the form DRH.
Abstract
We denote by κ the implicit signature that contains the multiplication and the (ω − 1)-power. It is proved that for any completely κ-reducible pseudovariety of groups H, the pseudovariety DRH of all finite semigroups whose regular ℛ-classes are groups in H is completely κ-reducible as well. The converse also holds. The tools used by Almeida, Costa, and Zeitoun for proving that the pseudovariety of all finite ℛ-trivial monoids is completely κ-reducible are adapted for the general setting of a pseudovariety of the form DRH.
Year
Venue
Field
2017
IJAC
Discrete mathematics,Converse,Of the form,Algebra,Monoid,Multiplication,Mathematics
DocType
Volume
Issue
Journal
27
2
Citations 
PageRank 
References 
0
0.34
0
Authors
2
Name
Order
Citations
PageRank
J. Almeida16115.24
Célia Borlido200.68