structure preserving

Homomorphism: Preserving Structure in Algebraic Systems

A homomorphism is a structure-preserving map between algebraic structures of the same type. It ensures that operations like addition and…

4 days ago

Endomorphism: Preserving Structure in Mathematical Objects

An endomorphism is a structure-preserving function mapping a mathematical object to itself. It's a fundamental concept in abstract algebra, category…

5 days ago