Category:Definitions/Max Operation

This category contains definitions related to Max Operation.
Related results can be found in Category:Max Operation.

Let $\struct {S, \preceq}$ be a totally ordered set.

The max operation is the binary operation on $\struct {S, \preceq}$ defined as:

$\forall x, y \in S: \map \max {x, y} = \begin{cases}

y & : x \preceq y \\ x & : y \preceq x \end{cases}$