Note on quasivarieties generated by finite pointed abelian groups

2024

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DOI 10.1515/math-2023-0181
Data confidence 70 medium
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Abstract

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.