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K. V. Adaricheva [3]Kira Adaricheva [1]K. Adaricheva [1]
  1. K. Adaricheva, R. Mckenzie, E. R. Zenk, M. Mar´ti & J. B. Nation (2006). The Jónsson-Kiefer Property. Studia Logica 83 (1-3):111 - 131.
    The least element 0 of a finite meet semi-distributive lattice is a meet of meet-prime elements. We investigate conditions under which the least element of an algebraic, meet semi-distributive lattice is a (complete) meet of meet-prime elements. For example, this is true if the lattice has only countably many compact elements, or if |L| < 2ℵ0, or if L is in the variety generated by a finite meet semi-distributive lattice. We give an example of an algebraic, meet semi-distributive lattice that (...)
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  2. Kira Adaricheva, Ralph Mckenzie, Eric Richard Zenk, M. Mar & James B. Nation (2006). The Jónsson-Kiefer Property. Studia Logica 83 (1-3):111-131.
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  3. M. E. Adams, K. V. Adaricheva, W. Dziobiak & A. V. Kravchenko (2004). From the Editors. Studia Logica 78 (1-2):3-5.
  4. M. E. Adams, K. V. adaricheva, W. Dziobiak & A. V. Kravchenko (2004). Open Questions Related to the Problem of Birkhoff and Maltsev. Studia Logica 78 (1-2):357 - 378.
    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.
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  5. K. V. Adaricheva & V. A. Gorbunov (2004). On the Structure of Lattices of Subquasivarieties of Congruence-Noetherian Quasivarieties. Studia Logica 78 (1-2):35 - 44.
    We study the structure of algebraic -closed subsets of an algebraic lattice L, where 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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