Examples of “homomorphism” in a Sentence

noun In algebra, a map between two structures of the same kind, such as groups or rings, that preserves how their operations work.

• A group homomorphism always sends the identity element to the identity element of the other group.
• Mathematicians check whether a function is a homomorphism by testing whether it preserves the structure's operations.
• The map turned out to be a ring homomorphism between the two rings.

noun In biology, a similar appearance shared by two organisms or structures that are not closely related.

• The similar body shapes of fish and whales are often given as an example of homomorphism rather than shared ancestry.
• Biologists sometimes describe matching traits in unrelated species as homomorphism.
• The two insects show a striking homomorphism despite belonging to different families.