Title
Tameness Of The Pseudovariety Of Aebelian Groups
Abstract
In this paper we prove that the pseudovariety of Abelian groups is hyperdecidable and moreover that it is completely tame. This is a consequence of the fact that a system of group equations on a free Abelian group with certain rational constraints is solvable if and only if it is solvable in every finite quotient.
Year
DOI
Venue
2005
10.1142/S0218196705002311
INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION
Keywords
Field
DocType
pseudovariety, monoid, semigroup, Abelian group, system of equations, rational constraints, complete tameness
Discrete mathematics,Abelian group,Abelian extension,Free abelian group,Combinatorics,Algebra,Elementary abelian group,G-module,Metabelian group,Solvable group,Rank of an abelian group,Mathematics
Journal
Volume
Issue
ISSN
15
2
0218-1967
Citations 
PageRank 
References 
3
0.57
4
Authors
2
Name
Order
Citations
PageRank
J. Almeida16115.24
Manuel Delgado2434.80