Title
Complete Reducibility Of The Pseudovariety Ls1
Abstract
In this paper we prove that the pseudovariety LS1 of local semilattices is completely kappa-reducible, where kappa is the implicit signature consisting of the multiplication and the omega-power. Informally speaking, given a finite equation system with rational constraints, the existence of a solution by pseudowords of the system over LS1 implies the existence of a solution by kappa-words of the system over LS1 satisfying the same constraints.
Year
DOI
Venue
2009
10.1142/S021819670900507X
INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION
Keywords
Field
DocType
Semigroup, pseudovariety, pseudoword, system of equations, implicit signature, complete tameness, complete reducibility, local semillatice, infinite word
Discrete mathematics,Algebra,System of linear equations,Multiplication,Semigroup,Pseudoword,Mathematics
Journal
Volume
Issue
ISSN
19
2
0218-1967
Citations 
PageRank 
References 
4
0.61
6
Authors
2
Name
Order
Citations
PageRank
José Carlos Costa1174.57
Conceição Nogueira241.29