Homomorphism

Homomorphism is a concept from mathematics, specifically algebra, describing a structure-preserving map between two algebraic systems (like groups, rings, or fields). It means that operations performed in one system correspond directly to operations in the other when mapped through this function. Essentially, it allows us to translate complex relationships from one context to another without losing their fundamental properties. Think of it as a way to relate two structures so that their operations stay consistent under the mapping, providing insight into how different systems are connected at a foundational level.