On the solutions of linear systems over additively idempotent semirings

Álvaro Otero Sánchez, Daniel Camazón, Juan Antonio López Ramos

The aim of this article is to solve the system $XA=Y$ where $A=(a_{ij})\in M_{m\times n}(S)$, $Y\in S^m$ and $X$ is an unknown vector of size $n$, being $S$ an additively idempot…