Definition of Homomorphisms. Meaning of Homomorphisms. Synonyms of Homomorphisms

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

Definition of Homomorphisms

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 Homomorphisms from wikipedia

- The term "homomorphism" appeared as early as 1892, when it was attributed to the German mathematician Felix Klein (1849–1925). Homomorphisms of vector...
- Under this view, homomorphisms of such structures are exactly graph homomorphisms. In general, the question of finding a homomorphism from one relational...
- that h + k is again a group homomorphism. The addition of homomorphisms is compatible with the composition of homomorphisms in the following sense: if...
- between (unital) rings need not be a ring homomorphism. The composition of two ring homomorphisms is a ring homomorphism. It follows that the class of all rings...
- 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)...
- can define kernels for homomorphisms between modules over a ring in an analogous manner. This includes kernels for homomorphisms between abelian groups...
- homotopy induce homomorphisms that are inverse to each other. A common use of induced homomorphisms is the following: by showing that a homomorphism with certain...
- abstract algebra, the fundamental theorem on homomorphisms, also known as the fundamental homomorphism theorem, or the first isomorphism theorem, relates...
- In mathematics, the J-homomorphism is a mapping from the homotopy groups of the special orthogonal groups to the homotopy groups of spheres. It was defined...
- the (usual) Gysin homomorphism induced by the zero-section embedding X ′ ↪ N {\displaystyle X'\hookrightarrow N} . The homomorphism i! encodes intersection...