👉 In mathematics, an isomorphism is a function or mapping between two structures (such as sets, graphs, or groups) that preserves certain properties of the structure. A function f from one set to another is called an isomorphism if it satisfies all the axioms for a bijection and is injective (one-to-one), meaning that every element in one domain has a unique corresponding element in the other domain. An isomorphism between two structures can be defined as a bijective function