Lattices of subclasses. II

Author:

Schwidefsky Marina12,Zamojska-Dzienio Anna3

Affiliation:

1. Sobolev Institute of Mathematics, Siberian Branch RAS, Acad. Koptyug prosp. 4, 630090 Novosibirsk, Russia

2. Novosibirsk State University, Pirogova str. 2, 630090 Novosibirsk, Russia

3. Faculty of Mathematics and Information Science, Warsaw University of Technology, ul. Koszykowa 75, 00-662 Warsaw, Poland

Abstract

We prove that the class K(σ) of all algebraic structures of signature σ is Q-universal if and only if there is a class K ⊆ K(σ) such that the problem whether a finite lattice embeds into the lattice of K-quasivarieties is undecidable.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

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1. THE COMPLEXITY OF QUASIVARIETY LATTICES. II;SIB ELECTRON MATH RE;2023

2. ON NONSTANDARD QUASIVARIETIES OF DIFFERENTIAL GROUPOIDS AND UNARY ALGEBRAS;SIB ELECTRON MATH RE;2022

3. On a Class of Subsemigroup Lattices;Siberian Mathematical Journal;2020-09

4. On the complexity of the lattices of subvarieties and congruences;International Journal of Algebra and Computation;2020-08-28

5. On the complexity of the lattices of subvarieties and congruences. II. Differential groupoids and unary algebras;Sibirskie Elektronnye Matematicheskie Izvestiya;2020-06-04

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