Algebra theory MOC

Algebra homomorphism

Let and be -algebras An algebra homomorphism is a -linear map which preserves the bilinear product, #m/def/ralg i.e. for and

a unital algebra homomorphism is one which additionally has

Properties

• Kernel of an algebra homomorphism

Special cases

• Lie algebra homomorphism

#state/tidy | #lang/en | #SemBr