Karl Jones: Created page with "In abstract algebra, a '''homomorphism''' is a structure-preserving map between two algebraic structures (such as Group (mathematics)|..."

2016-09-21T20:05:14Z

Created page with "In abstract algebra, a '''homomorphism''' is a structure-preserving map between two algebraic structures (such as Group (mathematics)|..."

New page

In [[abstract algebra]], a '''homomorphism''' is a [[Morphism|structure-preserving]] [[Map (mathematics)|map]] between two algebraic structures (such as [[Group (mathematics)|groups]], [[Ring (mathematics)|rings]], or [[Vector space|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 ==

* [https://en.wikipedia.org/wiki/Homomorphism Homomorphism] @ Wikipedia

[[Category:Mathematics]]

Homomorphism - Revision history

Karl Jones: Created page with "In abstract algebra, a '''homomorphism''' is a structure-preserving map between two algebraic structures (such as Group (mathematics)|..."