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homomorphism

noun

Etymology

From homo- + morphism.

Definitions

  1. A structure-preserving map between two algebraic structures of the same type, such as…

    A structure-preserving map between two algebraic structures of the same type, 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.
    • A homomorphism of presheaves h#58;A#92;rightarrowB is a collection of homomorphisms h#95;U#58;A(U)#92;rightarrowB(U) commuting with restrictions.

  2. A similar appearance of two unrelated organisms or structures, as for example with fish…

    A similar appearance of two unrelated organisms or structures, as for example with fish and whales.

The neighborhood

Derived

antihomomorphism, boundary homomorphism, connecting homomorphism, graph homomorphism, homomorphous, ring homomorphism, semigroup homomorphism

Vish — recursive loop

No curated loop yet for homomorphism. Loops are being traced one word at a time while the ingestion pipeline matures.

sense glosses and etymology drawn from English Wiktionary · source · CC-BY-SA