Open questions related to the problem of Birkhoff and Maltsev

M. E. Adams, K. V. Adaricheva, W. Dziobiak, A. V. Kravchenko

Research output: Contribution to journalArticlepeer-review

20 Citations (Scopus)

Abstract

The Birkhoff-Maltsev problem asks for a characterization of those lattices each of which is isomorphic to the lattice L(K) of all subquasivarieties for some quasivariety K of algebraic systems. The current status of this problem, which is still open, is discussed. Various unsolved questions that are related to the Birkhoff-Maltsev problem are also considered, including ones that stem from the theory of propositional logics.

Original languageEnglish
Pages (from-to)357-378
Number of pages22
JournalStudia Logica
Volume78
Issue number1-2
DOIs
Publication statusPublished - Jan 1 2004

Keywords

  • Graph
  • Independent basis
  • Join-semidistributive
  • Q-lattice
  • Q-universality
  • Quasivariety

ASJC Scopus subject areas

  • Logic
  • History and Philosophy of Science

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