homomorphism

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Related to Homomorphisms: isomorphism

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 define the space [mathematical expression not reproducible] of homomorphisms [PHI]: [H.
Among their topics are on deformations and rigidity of the Godbillion Vey class, Thurston's h-principle for two-dimensional foliations of co-dimension greater than one, a few open problems on characteristic classes of foliations, on the global estimate of the Diederich-Fornaess index of Levi-flat real hyperspaces, homomorphisms on groups of volume-preserving diffeomorphisms via fundamental groups, and rotation number and lifts of a Fuchsian action of the modular group on the circle.
In the subsequent paper [33], we showed that special homogeneous surjections of monoids are reflective amongst surjective homomorphisms.
Aperiodic homomorphisms and the concatenation product of recognizable sets.
Rivest, "On Data Banks and Privacy Homomorphisms," Found.
In this section we introduced and discussed the notion of homomorphisms of neutrosophic graphs.
k](L) by applying erasing homomorphisms to remove the [#.
Chapters four through seven cover abstract groups and monoids, orthogonal groups, stochastic matrices, Lagrange's theorem, groups of units of monoids, homomorphisms, rings, and integral domains.
The composite of two homomorphisms (subhomomorphisms) is a homomorphism (resp.
Crucially, by restricting attention to only those homomorphisms induced by causal processes, we can solve two philosophical problems with a single assumption.
Other topics include quotients and homomorphisms of relational systems, power automorphisms and induced automorphisms in finite groups, the relation between weak entwining structures and weak coring, sheaves over Boolean spaces, and cotorsion pairs of complexes.