Homomorphisms

A homomorphism is a mathematical concept describing a structure-preserving map between two algebraic systems, such as groups, rings, or vector spaces. It ensures that the relationship between elements and the operations performed on them are maintained when moving from one system to another. In simple terms, it’s a function that translates elements from one structure into another without breaking the rules of how those elements relate or combine. This way, the core structure and operations are preserved, allowing different systems to be compared or connected while maintaining their fundamental properties.