Abstract
The Gorbunov-Tumanov conjecture on the structure of lattices of quasivarieties is proved true for the case of algebraic lattices. Namely, for an algebraic atomistic lattice L, the following conditions are equivalent: (1) L is represented as Lq(K) for some algebraic quasivariety K; (2) L is represented as S∧(A) for some algebraic lattice A which satisfies the minimality condition and nearly satisfies the maximality condition; (3) L is a coalgebraic lattice admitting an equaclosure operator.
Original language | English |
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Pages (from-to) | 213-225 |
Number of pages | 13 |
Journal | Algebra and Logic |
Volume | 36 |
Issue number | 4 |
DOIs | |
Publication status | Published - 1997 |
ASJC Scopus subject areas
- Analysis
- Logic