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On the structure of lattices of subquasivarieties of congruence-noetherian quasivarieties

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Abstract

We study the structure of algebraic τ-closed subsets of an algebraic lattice L, where τ is some Browerian binary relation on L, in the special case when the lattice of such subsets is an atomistic lattice. This gives an approach to investigate the atomistic lattices of congruence-Noetherian quasivarieties.

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V. A. Gorbunov has died in January 1999

Special issue of Studia Logica: “Algebraic Theory of Quasivarieties” Presented by M. E. Adams, W. Dziobiak, and A. V. Kravchenko

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Adaricheva, K.V., Gorbunov, V.A. On the structure of lattices of subquasivarieties of congruence-noetherian quasivarieties. Stud Logica 78, 35–44 (2004). https://doi.org/10.1007/s11225-005-5044-y

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  • DOI: https://doi.org/10.1007/s11225-005-5044-y

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