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math.RA2014
Which self-maps appear as lattice anti-endomorphisms?
Stephan Foldes, Jeno Szigeti
Let f be a self-map of the set A. We give a necessary and sufficient condition for the existence of a lattice structure on A such that f becomes a lattice anti-endomorphism with re…
math.RA2010
Some remarks on structural matrix rings and matrices with ideal entries
Stephan Foldes, Gerasimos Meletiou
Associating to each pre-order on the indices 1,...,n the corresponding structural matrix ring, or incidence algebra, embeds the lattice of n-element pre-orders into the lattice of…