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Answer by Walter Bruce Sinclair for closure operator on a complete lattice...
A residuated closure operator $f$ on a lattice $L$ is a closure operator (an idempotent ascending isotone map) whose fixpoints are identically the fixpoints of a coclosure operator (an idempotent...
View Articleclosure operator on a complete lattice arising from adjunction on lattice itself
Define a closure operator on a complete lattice $L$ as a function $f:L \to L$ which is order preserving and idempotent and satisfies $x \leq fx$.Every closure operator arises from an adjunction between...
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