homomorphism


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Related to homomorphism: homeomorphism, Automorphism

ho·mo·mor·phism

 (hō′mə-môr′fĭz′əm, hŏm′ə-)
n.
1. Mathematics A transformation of one set into another that preserves in the second set the operations between the members of the first set.
2. Biology Similarity of external form or appearance but not of structure or origin.
3. Zoology A resemblance in form between the immature and adult stages of an animal.

ho′mo·mor′phic, ho′mo·mor′phous adj.

homomorphism

(ˌhəʊməʊˈmɔːfɪzəm; ˌhɒm-) or

homomorphy

n
(Biology) biology similarity in form
ˌhomoˈmorphic, ˌhomoˈmorphous adj

ho•mo•mor•phism

(ˌhoʊ məˈmɔr fɪz əm, ˌhɒm ə-)

also ho′mo•mor`phy,



n.
1. correspondence in form or external appearance.
2. possession of perfect flowers of only one kind.
[1865–70]
ho`mo•mor′phous, ho`mo•mor′phic, adj.
ThesaurusAntonymsRelated WordsSynonymsLegend:
Noun1.homomorphism - similarity of form
similarity - the quality of being similar
Translations
homomorfismus
Homomorphismus
homomorfismi
homomorphisme
homomorfizam
homomorfizmus
omomorfismo
homomorfizmas
homomorfizm
homomorfizem
References in periodicals archive ?
We point out that a homomorphism of sup-algebras has to preserve also nullary operations.
A semilattice-ordered semigroup (A, x, [cross product]) is said to be representable with binary relations if there is a set B and an injective homomorphism f:(A, x, [cross product]) [right arrow] (Rel(B), [omicron], [union]).
Y is a homomorphism on BF-algebras then f(0X) = 0Y.
At the beginning of this paper, we said that decidability, set-oriented operations, and homomorphism were the three essential features of data models.
10: If S and T are inverse semigroups and f: S [right arrow] T is homomorphism and T is an inverse sub semigroup of T such that [f.
Thus f is an R[G] homomorphism (REN & Shum, 2004) as required.
The notions isomorphism and homomorphism can be defined with further widening on the systems.
It was then discovered (Wong and Masaro (22) and Masaro and Wong (12)) that these conditions reflected the fact that the Wishartness of Y'WY depended on whether or not a certain linear transformation was a Jordan algebra homomorphism.
2] is a homomorphism between graded rings, then we do not necessarily get a corresponding morphism Proj([D.
He reviews linear algebras, then describes the group and its subsets, including homomorphism of two groups and the proper symmetric group of a regular polyhedron, the theory of linear representations of groups, the three-dimensional rotation group, permutation groups, Lie groups and Lie algebras, unitary groups, real orthogonal groups and symplectic groups.
2] is called a Banach algebra homomorphism if it is also multiplicative, i.
The model is an isomorphic or homomorphism picturing objects into the choice aim quantity that transfers a competent picturing and properties of the object (Obona, 1990).