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math.RA2019
On Nontrivial Weak Dicomplementations and the Lattice Congruences that Preserve Them
Leonard Kwuida, Claudia Mureşan
We study the existence of nontrivial and of representable (dual) weak complementations, along with the lattice congruences that preserve them, in different constructions of bounded…
math.RA2019
Functorial Properties of the Reticulation of a Universal Algebra
George Georgescu, Leonard Kwuida, Claudia Mureşan
The {\em reticulation} of an algebra is a bounded distributive lattice whose prime spectrum of ideals (or filters), endowed with the Stone topology, is homeomorphic to the prim…