Homomorphism

In abstract algebra, a homomorphism is a structure-preserving map between two algebraic structures (such as groups, rings, or vector spaces).

Description

The word homomorphism comes from the ancient Greek language: ὁμός (homos) meaning "same" and μορφή (morphe) meaning "form" or "shape".

Isomorphisms, automorphisms, and endomorphisms are special types of homomorphisms.

See also

• Abstract algebra
• Continuous function
• Diffeomorphism
• Homomorphic encryption
• Homomorphic secret sharing – a simplistic decentralized voting protocol
• Map (mathematics)
• Morphism

External links

• Homomorphism @ Wikipedia