Real nonnegative numbers/Minimum/Structural properties/Exercise

Study the binary operation

$\mathbb {R} _{\geq 0}\times \mathbb {R} _{\geq 0}\longrightarrow \mathbb {R} _{\geq 0},(x,y)\longmapsto \operatorname {min} \,(x,y),$

with respect to associativity, commutativity, existence of a neutral element, existence of inverse elements.

Create a solution