# Operator homomorphism

From Encyclopedia of Mathematics

A homomorphism of algebraic systems (cf. Algebraic system) that commutes with each operator of a given set operating on these systems, i.e. a homomorphism of operator groups, operator rings, etc.

**How to Cite This Entry:**

Operator homomorphism.

*Encyclopedia of Mathematics.*URL: http://encyclopediaofmath.org/index.php?title=Operator_homomorphism&oldid=32080