35 citations · 153 across the 28 of their papers we have counts for
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Conjecture on Maximal Sublattices of Finite Semidistributive Lattices and Beyond
K. Adaricheva, A. Mata, S. Silberger +1
We study maximal sublattices of finite semidistributive lattices via their complements. We focus on the conjecture that such complements are always intervals, which is known to be…
Algebraic convex geometries revisited
Kira Adaricheva
Representation of convex geometry as an appropriate join of compatible total orderings of the base set can be achieved, when closure operator of convex geometry is algebraic, or fi…
Notes on the description of join-distributive lattices by permutations
Gábor Czédli, Kira Adaricheva
Let L be a join-distributive lattice with length n and width(Ji L) \leq k. There are two ways to describe L by k-1 permutations acting on an n-element set: a combinatorial way give…
Lattices of quasi-equational theories as congruence lattices of semilattices with operators, Part II
Kira Adaricheva, J. B. Nation
Part I proved that for every quasivariety K of structures (which may have both operations and relations) there is a semilattice S with operators such that he lattice of quasi-equat…
Lattices of quasi-equational theories as congruence lattices of semilattices with operators, Part I
Kira Adaricheva, J. B. Nation
We show that for every quasivariety K of structures (where both functions and relations are allowed) there is a semilattice S with operators such that the lattice of quasi-equation…
Join-semidistributive lattices of relatively convex sets
K. Adaricheva
We give two sufficient conditions for the lattice Co(R^n,X) of relatively convex sets of n-dimensional real space R^n to be join-semidistributive, where X is a finite union of segm…