A homomorphism is a structure-preserving map between algebraic structures of the same type. It ensures that operations like addition and…
An exchange, often referred to as a transposition, is a specific type of permutation where only two elements are swapped.…
A congruence relation is an equivalence relation that preserves the operations within an algebraic structure, like addition or multiplication in…
An automorphism is an isomorphism from a mathematical object to itself, preserving its structure. It represents internal symmetries within logical…