definition
A structure-preserving map between two algebraic structures of the same type, such as groups, rings, or vector spaces.
example
A field homomorphism is a map from one field to another one which is additive, multiplicative, zero-preserving, and unit-preserving.
definition
A similar appearance of two unrelated organisms or structures.
This defines a natural homomorphism of C into the symmetric group of degree n.
The next step is to compute the homomorphism induced by inclusion of the circle as the boundary of the respective punctured surface.
We will now look at this action homomorphism again to find out on what objects it operates.
We introduce the minimum cost graph homomorphism problem, provide partial results and pose an open problem.
Its methods may assume that gens generates A and that the mapping of gens to imgs defines an algebra homomorphism.
Recall concepts of a ring homomorphism, ideal, right (left) ideal, principal ideal in a commutative ring.
The permutation group arising by the induced action is then the image of this operation homomorphism.
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