Note on quasivarieties generated by finite pointed abelian groups
Basheyeva A. Lutsak S.
1 January 2024Walter de Gruyter GmbH
Open Mathematics
2024#22Issue 1
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.
abelian group , finitely axiomatizable class , pointed group , quasivariety , quasivariety lattice , variety
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Department of Algebra and Geometry, L.N. Gumilev Eurasian National University, Satpayev Street, 2, Astana, 010000, Kazakhstan
Astana IT University, Mangilik El Avenue, 55/11, Astana, 010000, Kazakhstan
Department of Mathematics and Computer Science, M. Kozybayev North Kazakhstan University, Pushkin Street, 86, Petropavlovsk, 150000, Kazakhstan
Department of Algebra and Geometry
Astana IT University
Department of Mathematics and Computer Science
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