Definition:Meet-Irreducible Element

Definition

Let $\struct{S, \wedge, \preceq}$ be a meet semilattice.

Let $z \in S$.

Then $z$ is said to be meet-irreducible if and only if

$\forall x, y \in S : x \wedge y \preceq z \implies x \preceq z$ or $y \preceq z$

Also see

• Definition:Join-Irreducible Element

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