We define the notion of weak relative pseudo-complement on meet semi-lattices, and we show that it is strictly weaker than relative pseudo-complementation, but stronger than pseudo-complementation. Our main result is that if a complete lattice L is meet-continuous, then every closure operator on L admits weak relative pseudo-complements with respect to continuous closure operators on L.

Weak Relative Pseudo-Complements of Closure Operators

GIACOBAZZI, Roberto;
1996-01-01

Abstract

We define the notion of weak relative pseudo-complement on meet semi-lattices, and we show that it is strictly weaker than relative pseudo-complementation, but stronger than pseudo-complementation. Our main result is that if a complete lattice L is meet-continuous, then every closure operator on L admits weak relative pseudo-complements with respect to continuous closure operators on L.
1996
Lattice theory; pseudo-complement; closure operators
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11562/438341
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