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The Collaborative International Dictionary

Homomorphism \Ho`mo*mor"phism\, n. [See Homomorphous.]

  1. (Biol.) Same as Homomorphy.

  2. (Bot.) The possession, in one species of plants, of only one kind of flowers; -- opposed to heteromorphism, dimorphism, and trimorphism.

  3. (Zo["o]l.) The possession of but one kind of larv[ae] or young, as in most insects.


n. 1 (context algebra English) A structure-preserving map between two algebraic structures, such as groups, rings, or vector spaces. 2 (context biology English) A similar appearance of two unrelated organisms or structures


n. similarity of form [syn: homomorphy]


In abstract algebra, a homomorphism is a structure-preserving map between two algebraic structures (such as groups, rings, or vector spaces). The word homomorphism comes from the ancient Greek language: ὁμός (homos) meaning "same" and μορφή (morphe) meaning "form" or "shape". Isomorphisms, automorphisms, and endomorphisms are special types of homomorphisms.

Usage examples of "homomorphism".

But then, just as he was leisurely defining the homomorphism, phi, the branch of the tree holding up his lightship suddenly snapped this is how it seemed and he was hurled into a rare and quite deadly torison space, of a kind that Lord Ricardo Lavi had once discovered on one of the first journeys toward the Vild.