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JOURNALS // Sibirskii Matematicheskii Zhurnal // Archive

Sibirsk. Mat. Zh., 2024 Volume 65, Number 3, Pages 446–454 (Mi smj7865)

The quasivariety $\mathbf{SP}(L_6)$. II: A duality result

A. O. Basheyevaa, M. V. Schwidefskyb

a Eurasian National University named after L.N. Gumilyov, Astana
b Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk

Abstract: We prove that the category of the complete bi-algebraic (0, 1)-lattices belonging to the quasivariety generated by a certain finite lattice with complete lattice homomorphisms, considered as a concrete category, is dually equivalent to the category of certain spaces with an additional structure.

Keywords: duality, bi-algebraic lattice, quasivariety.

UDC: 512.57

MSC: 35R30

Received: 07.04.2023
Revised: 26.02.2024
Accepted: 08.04.2024

DOI: 10.33048/smzh.2024.65.302



© Steklov Math. Inst. of RAS, 2024