Isomorphism is a concept used in various fields, including mathematics and biology, to describe a relationship between two structures that can be mapped onto each other in a way that preserves their properties. For example, in graph theory, two graphs are isomorphic if there is a one-to-one correspondence between their vertices and edges, maintaining the same connectivity.
In abstract algebra, isomorphism refers to a mapping between two algebraic structures, such as groups or rings, that shows they are fundamentally the same in terms of their operations. This means that if one structure can be transformed into another without losing its essential characteristics, they are considered isomorphic.