On ideals of semirings of continuous non-negative functions with max-addition.
Shirokov D.V.
In the work we consider some properties of ideals of semirings С(Х) of all continuous non-negative functions defined on a Tikhonov space X with the usual operation of multiplication of functions and the operation max-addition. The criterion for the semiring С(Х) to be self-injective by Baer is formulated. The structure of ideals of the semiring for cases when they are pure or injective by Baer is described. Keywords: semiring of continuous nonnegative functions, max-addition, semiring that self-injective by Baire, pure ideal, ideal that injective by Baire.
