Note on quasivarieties generated by finite pointed abelian groups-Reference-Cited by-同舟云学术

Note on quasivarieties generated by finite pointed abelian groups

Published:2024-01-01 Issue:1 Volume:22 Page:
ISSN:2391-5455
Container-title:Open Mathematics
language:en
Short-container-title:

Author:

Basheyeva Ainur¹²,Lutsak Svetlana³

Affiliation:

1. Department of Algebra and Geometry, L.N. Gumilev Eurasian National University , Satpayev Street, 2 , Astana , 010000 , Kazakhstan ;

2. Astana IT University , Mangilik El Avenue, 55/11 , Astana , 010000 , Kazakhstan

3. Department of Mathematics and Computer Science, M. Kozybayev North Kazakhstan University , Pushkin Street, 86 , Petropavlovsk , 150000 , Kazakhstan

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.

Publisher

Walter de Gruyter GmbH

Link

https://www.degruyter.com/document/doi/10.1515/math-2023-0181/pdf

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