Note on quasivarieties generated by finite pointed abelian groups
Abstract: We prove that a finite pointed abelian group generates a finitely axiomatizable variety that has a finite quasivariety lattice. As a consequence, we obtain that a quasivariety generated by a finite pointed abelian group has a finite basis of quasi-identities. The problems arising from the results obtained are also discussed.
- Location
-
Deutsche Nationalbibliothek Frankfurt am Main
- Extent
-
Online-Ressource
- Language
-
Englisch
- Bibliographic citation
-
Note on quasivarieties generated by finite pointed abelian groups ; volume:22 ; number:1 ; year:2024 ; extent:5
Open mathematics ; 22, Heft 1 (2024) (gesamt 5)
- Creator
-
Basheyeva, Ainur
Lutsak, Svetlana
- DOI
-
10.1515/math-2023-0181
- URN
-
urn:nbn:de:101:1-2024032214352775493408
- Rights
-
Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Last update
- 14.08.2025, 10:56 AM CEST
Data provider
This object is provided by:
Deutsche Nationalbibliothek. If you have any questions about the object, please contact the data provider.
Deutsche Nationalbibliothek. If you have any questions about the object, please contact the data provider.
Associated
- Basheyeva, Ainur
- Lutsak, Svetlana
Other Objects (12)
New algorithms for finite Abelian groups
Fourier analysis on finite Abelian groups
Finite rank torsion free Abelian groups and rings
Anomalies of non-Abelian finite groups via cobordism
Abelian groups and representations of finite partially ordered sets
Comparing system of sets of lengths over finite abelian groups
Real and complex connective K-homology of finite abelian 2-groups
Certain actions of finite abelian groups on higher dimensional noncommutative tori
Torsion free extensions of torsion free abelian groups of finite rank
A short note on coproducts of Abelian pro-Lie groups
Abelian groups : structures and classifications
Truncations of ordered abelian groups
New algorithms for finite Abelian groups
Fourier analysis on finite Abelian groups
Finite rank torsion free Abelian groups and rings
Anomalies of non-Abelian finite groups via cobordism
Abelian groups and representations of finite partially ordered sets
Comparing system of sets of lengths over finite abelian groups
Real and complex connective K-homology of finite abelian 2-groups
Certain actions of finite abelian groups on higher dimensional noncommutative tori
Torsion free extensions of torsion free abelian groups of finite rank
A short note on coproducts of Abelian pro-Lie groups
Abelian groups : structures and classifications
Truncations of ordered abelian groups
New algorithms for finite Abelian groups
Fourier analysis on finite Abelian groups
Finite rank torsion free Abelian groups and rings
Anomalies of non-Abelian finite groups via cobordism
Abelian groups and representations of finite partially ordered sets
Comparing system of sets of lengths over finite abelian groups
Real and complex connective K-homology of finite abelian 2-groups
Certain actions of finite abelian groups on higher dimensional noncommutative tori
Torsion free extensions of torsion free abelian groups of finite rank
A short note on coproducts of Abelian pro-Lie groups
Abelian groups : structures and classifications