Definition:Strictly Maximal Element

Definition
Let $\left({S, \mathcal R}\right)$ be a relational structure.

Let $T \subseteq S$ be a subset of $S$.

An element $x \in T$ is an $\mathcal R$-maximal element of $T$ :


 * $\forall y \in T: x \not \mathrel {\mathcal R} y$

Also see

 * Definition:Minimal Element under Relation