Definition:Pseudocomplemented Lattice

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Definition

Let $\struct {L, \wedge, \vee, \preceq}$ be a lattice with smallest element $\bot$.


Then $\struct {L, \wedge, \vee, \preceq}$ is a pseudocomplemented lattice if and only if each element $x$ of $L$ has a pseudocomplement.


The pseudocomplement of $x$ is denoted $x^*$.


Also see

  • Results about pseudocomplemented lattices can be found here.


Sources