Semirings and Affine Equations over Them

Focusing on semiring theory, this volume explores its dual roots in abstract algebra and applied mathematics, particularly in optimization, discrete-event systems, automata, and formal languages. It emphasizes the significant applications of semiring theory, particularly in finding the equalizer of affine maps between semimodules. The book presents a comprehensive overview of the current advancements in this field, alongside numerous specific application cases, making it a valuable resource for researchers and practitioners alike.