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Homomorphism vs Homomorphically - What's the difference?

homomorphism | homomorphically |

As a noun homomorphism

is (algebra) a structure-preserving map between two algebraic structures, such as groups, rings, or vector spaces.

As an adverb homomorphically is

(mathematics) by means of a homomorphism.

homomorphism

English

Noun

(en noun)
  • (algebra) A structure-preserving map between two algebraic structures, such as groups, rings, or vector spaces.
    • A field homomorphism is a map from one field to another one which is additive, multiplicative, zero-preserving, and unit-preserving.
  • (biology) A similar appearance of two unrelated organisms or structures

    • Related terms

    * morphism

    homomorphically

    English

    Adverb

    (-)
  • (mathematics) By means of a homomorphism.