Definition:Minimal Element/Also defined as
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Minimal Element: Also defined as
Most treatments of the concept of a minimal element restrict the definition of the relation $\RR$ to the requirement that it be an ordering.
However, this is not strictly required, and this more general definition as used on $\mathsf{Pr} \infty \mathsf{fWiki}$ is of far more use.
Sources
- 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): maximal
- 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): maximal