homomorphism , także: homomorphy

However, the standard homomorphism may be zero in some cases.

Note that this homomorphism maps the natural numbers back into themselves.

The group homomorphism is given in the following way.

See fundamental group for more on this type of induced homomorphism.

The most used reformulation is that in terms of the homomorphism problem.

The label representation is sometimes also applied to the homomorphism itself.

An endomorphism is a homomorphism from an object to itself.

A useful example is the induced homomorphism of fundamental groups.

For example, a homomorphism of topological groups is often required to be continuous.

The interpretation must be a homomorphism, while valuation is simply a function.

The concept of a homomorphism and an isomorphism may be defined.

The gradually varied surface has direct relationship to graph homomorphism.

It's also straightforward to show that the mapping defined this way is a homomorphism.

Let an "'almost homomorphism"' be a map such that the set is finite.

Then the functions may be added pointwise to produce a group homomorphism.

Thus f is a homomorphism of the two underlying semilattices.

They commute with the suspension homomorphism and the boundary operator.

The notation for a homomorphism h from to is .

A linear map is a homomorphism between two vector spaces.

The fact that this function is a surjective group homomorphism follows directly.

One of methods to construct the reciprocity homomorphism uses class formation.

Every kernel of a Lie algebra homomorphism is an ideal.

An epimorphism (sometimes called a cover) is a surjective homomorphism.

If there exists a homomorphism we shall write , and otherwise.

(To see this, use the fact that any local homomorphism must be of the form )