Definition of Homomorphism. Meaning of Homomorphism. Synonyms of Homomorphism

Here you will find one or more explanations in English for the word Homomorphism. Also in the bottom left of the page several parts of wikipedia pages related to the word Homomorphism and, of course, Homomorphism synonyms and on the right images related to the word Homomorphism.

Definition of Homomorphism

Homomorphism
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.

Meaning of Homomorphism from wikipedia

- not preserved, one has a rng homomorphism. A linear map is a homomorphism of vector spaces; that is, a group homomorphism between vector spaces that preserves...
- homomorphism sometimes means a map which respects not only the group structure (as above) but also the extra structure. For example, a homomorphism of...
- mathematics, a ring homomorphism is a structure-preserving function between two rings. More explicitly, if R and S are rings, then a ring homomorphism is a function...
- map defined by the matrix. The kernel of a homomorphism is reduced to 0 (or 1) if and only if the homomorphism is injective, that is if the inverse image...
- Then, for a homomorphism f : G → H, (f(u),f(v)) is an arc (directed edge) of H whenever (u,v) is an arc of G. There is an injective homomorphism from G to...
- composition of module homomorphisms is again a module homomorphism, and the identity map on a module is a module homomorphism. Thus, all the (say left)...
- of two objects between which a homomorphism is given, and of the kernel and image of the homomorphism. The homomorphism theorem is used to prove the isomorphism...
- Monoid homomorphisms are sometimes simply called monoid morphisms. Not every semigroup homomorphism between monoids is a monoid homomorphism, since it...
- In mathematics, especially in algebraic topology, an induced homomorphism is a homomorphism derived in a canonical way from another map. For example, a...
- structure, too. In particular, a bounded-lattice homomorphism (usually called just "lattice homomorphism") f {\displaystyle f} between two bounded lattices...