Definition of Homomorph. Meaning of Homomorph. Synonyms of Homomorph

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

Definition of Homomorph

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Homomorphic
Homomorphic Ho`mo*mor"phic, Homomorphous Ho`mo*mor"phous, a. [Gr. ? the same + ? shape.] Characterized by 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.
Homomorphous
Homomorphic Ho`mo*mor"phic, Homomorphous Ho`mo*mor"phous, a. [Gr. ? the same + ? shape.] Characterized by homomorphism.
Homomorphy
Homomorphy Ho"mo*mor`phy, n. [Homo- + Gr. ? form.] (Biol.) Similarity of form; resemblance in external characters, while widely different in fundamental structure; resemblance in geometric ground form. See Homophyly, Promorphology.

Meaning of Homomorph from wikipedia

- In algebra, a homomorphism is a structure-preserving map between two algebraic structures of the same type (such as two groups, two rings, or two vector...
- In mathematics, given two groups, (G,∗) and (H, ·), a group homomorphism from (G,∗) to (H, ·) is a function h : G → H such that for all u and v in G it...
- abstract algebra, the fundamental theorem on homomorphisms, also known as the fundamental homomorphism theorem, or the first isomorphism theorem, relates...
- the (usual) Gysin homomorphism induced by the zero-section embedding X ′ ↪ N {\displaystyle X'\hookrightarrow N} . The homomorphism i! encodes intersection...
- 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...
- In the mathematical field of graph theory, a graph homomorphism is a mapping between two graphs that respects their structure. More concretely, it is a...
- In algebra, a module homomorphism is a function between modules that preserves the module structures. Explicitly, if M and N are left modules over a ring...
- 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...
- In mathematics, especially in algebraic topology, an induced homomorphism is a homomorphism derived in a canonical way from another map. For example, a...
- In mathematics, the Chern–Weil homomorphism is a basic construction in Chern–Weil theory that computes topological invariants of vector bundles and prin****l...