Note on quasivarieties generated by finite pointed abelian groups

dc.contributor.author	Basheyeva, Ainur
dc.contributor.author	Lutsak, Svetlana
dc.date.accessioned	2024-12-18T07:10:16Z
dc.date.available	2024-12-18T07:10:16Z
dc.date.issued	2024
dc.identifier.issn	2942-4801
dc.identifier.other	doi.org/10.1515/math-2023-0181
dc.identifier.uri	http://rep.enu.kz/handle/enu/20317
dc.description.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.	ru
dc.language.iso	en	ru
dc.publisher	De Gruyter proceedings in mathematics	ru
dc.subject	variety	ru
dc.subject	quasivariety	ru
dc.subject	quasivariety lattice	ru
dc.subject	finitely axiomatizable class	ru
dc.subject	abelian group	ru
dc.subject	pointed group	ru
dc.title	Note on quasivarieties generated by finite pointed abelian groups	ru
dc.type	Article	ru