noun
- Plural of endomorphism; in mathematics, functions or mappings from a mathematical structure to itself that preserve the structure's operations.
Usage: technical; mathematics
Examples
- In group theory, endomorphisms are homomorphisms from a group to itself.
- The set of all endomorphisms of a vector space forms a ring under composition and addition.
- Linear endomorphisms can be represented as square matrices.
- Studying endomorphisms helps mathematicians understand the internal structure of algebraic objects.
- An automorphism is a special case of an endomorphism that is also bijective.