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JOURNALS // Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports] // Archive

Sib. Èlektron. Mat. Izv., 2022 Volume 19, Issue 2, Pages 902–911 (Mi semr1549)

This article is cited in 2 papers

Mathematical logic, algebra and number theory

The quasivariety $\mathbf{S}\mathbf{P}(L_6)$. I. An equational basis

A. O. Basheyevaa, M. V. Schwidefskyb, K. D. Sultankulova

a L. N. Gumilev Eurasian National University, Kazhymukan str., 13, 010008, Nur-Sultan, Kazakhstan
b Sobolev Institute of Mathematics SB RAS, Acad. Koptyug ave., 4, 630090, Novosibirsk, Russia

Abstract: We prove that the quasivariety $\mathbf{S}\mathbf{P}(L_6)$ is a variety and find an equational basis for this variety.

Keywords: lattice, quasivariety, variety, poset.

UDC: 515.56

MSC: 06B20, 08B05, 08C15

Received March 20, 2022, published December 10, 2022

Language: English

DOI: 10.33048/semi.2022.19.076



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© Steklov Math. Inst. of RAS, 2024