Idempotent (asymptotic) mathematics and the representation theory

operations by a new set of basic operations (e.g., such as maximum or minimum), that is on replacing numerical fields by idempotent semirings and semifields. Typical (and the most common) examples are given by the so-called (max, +) algebra Rmax and (min, +) algebra Rmin. Let R be the field of real numbers. The