The Lattice Variety Generated by $$\boldsymbol{L_{4}}$$. I

The Lattice Variety Generated by $$\boldsymbol{L_{4}}$$. I Full article

Journal

Lobachevskii Journal of Mathematics
ISSN: 1995-0802 , E-ISSN: 1818-9962

Output data

Year: 2026, Volume: 47, Number: 3, Pages: 1326-1334 Pages count : 9 DOI: 10.1134/s1995080225612494

Tags

identity, lattice, variety

Authors

Basheyeva A.O. ¹ , Schwidefsky M.V. ^2,3

Affiliations

1	Gumilev Eurasian National University, 010008, Astana, Kazakhstan
2	Novosibirsk State University, 630090, Novosibirsk, Russia
3	Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, 630090, Novosibirsk, Russia

Funding (1)

Russian Science Foundation

24-21-00075

An equational basis of the lattice variety SP(L4) generated by the finite nonsemidistributive lattice L4 is found in order to establish in a subsequent paper a duality result for the category of bi-algebraic lattices belonging to this variety.

Basheyeva A.O. , Schwidefsky M.V.
The Lattice Variety Generated by $$\boldsymbol{L_{4}}$$. I
Lobachevskii Journal of Mathematics. 2026. V.47. N3. P.1326-1334. DOI: 10.1134/s1995080225612494 WOS OpenAlex

Submitted:	Aug 29, 2025
Accepted:	Dec 25, 2025
Published print:	Jul 6, 2026
Published online:	Jul 6, 2026

≡ Web of science:	WOS:001812865200028
≡ OpenAlex:	W7167475718