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math.LO2025
Infinite convex geometries with lower semi-modularity and join semi-distributivity
Adam Mata
The following article treats about convex geometries which are lower semi-modular and join semi-distributive lattices. Firstly, it is shown that there is a class of infinite co…
math.RA2025
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…