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TAMENESS OF THE PSEUDOVARIETY OF ABELIAN GROUPS.
- Source :
-
International Journal of Algebra & Computation . Apr2005, Vol. 15 Issue 2, p327-338. 12p. - Publication Year :
- 2005
-
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. [ABSTRACT FROM AUTHOR]
- Subjects :
- *ABELIAN groups
*GROUP theory
*ABELIAN equations
*FINITE groups
*ALGEBRA
*MATHEMATICS
Subjects
Details
- Language :
- English
- ISSN :
- 02181967
- Volume :
- 15
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- International Journal of Algebra & Computation
- Publication Type :
- Academic Journal
- Accession number :
- 17031703
- Full Text :
- https://doi.org/10.1142/S0218196705002311