isomorphism

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i·so·mor·phism

 (ī′sə-môr′fĭz′əm)
n.
1. Biology Similarity in form, as in organisms of different ancestry.
2. Mathematics A one-to-one correspondence between the elements of two sets such that the result of an operation on elements of one set corresponds to the result of the analogous operation on their images in the other set.
3. A close similarity in the crystalline structure of two or more substances of similar chemical composition.

i′so·mor′phous adj.

isomorphism

(ˌaɪsəʊˈmɔːfɪzəm)
n
1. (Biology) biology similarity of form, as in different generations of the same life cycle
2. (Chemistry) chem the existence of two or more substances of different composition in a similar crystalline form
3. (Mathematics) maths a one-to-one correspondence between the elements of two or more sets, such as those of Arabic and Roman numerals, and between the sums or products of the elements of one of these sets and those of the equivalent elements of the other set or sets

i•so•mor•phism

(ˌaɪ səˈmɔr fɪz əm)

n.
1. the state or property of being isomorphous or isomorphic.
2. Math. a one-to-one relation onto the map between two sets, which preserves the relations existing between elements in its domain.
[1820–30; isomorph (ous) + -ism]

isomorphism

close similarity between the forms of different crystals. See also biology. — isomorph, n.isomorphic, adj.
See also: Physics
similarity in the form or structure of organisms that belong to a different species or genus. — isomorph, n.isomorphic, adj.
See also: Biology

isomorphism

The existence of two or more different substances which have the same crystal structure.
ThesaurusAntonymsRelated WordsSynonymsLegend:
Noun1.isomorphism - (biology) similarity or identity of form or shape or structure
similarity - the quality of being similar
biological science, biology - the science that studies living organisms
Translations
izomorfismus
Isomorphismus
izomorfizam
izomorfizmus

isomorphism

[ˌaɪsəʊˈmɔːfɪzm] nisomorfismo
References in periodicals archive ?
Isomorphisms in the category of sup-algebras and their homomorphisms are precisely surjective homomorphisms that are order-embeddings.
These authors observed that formal organizations, proposed by Meyer and Rowan (1977), are already established in modern society, and proposed that they continue to become more homogeneous as result of interaction processes, named isomorphisms, which occur in organizational fields and provide a context such that individual efforts to rationally deal with uncertainty and constraint lead to homogeneity in structure, culture and output.
3(a) does not identify all isomorphisms of the form [[sigma], [tau]] [congruent to] [[alpha] [direct sum] [sigma], [alpha] [direct sum] [tau]].
In my view not only does this term capture the intended symbolic and physical dimensions of hegemonic political relationships but it resonates with Alex Kouzmin's elaboration of a political economy of oligarchic isomorphisms and my own investigations into the mechanics of visible and invisible power.
Lectures on Duflo isomorphisms in Lie algebra and complex geometry.
We might glimpse parts of its structure through the analogical isomorphisms of poetic or mystical thought, but it itself must remain, to some extent, outside of the reach of all these disciplinary apparata.
Moreover, this paper is to derive some straightforward consequences of the relations between quotient SU-algebras and isomorphisms and also investigate some of its properties.
1]- On this way one obtains a subgroup of the linear isomorphisms of [F.
Their topics include quantum polynomials, isomorphisms and derivations of algebras, semigroup properties of cooperations on finite sets, continuous co-algebra endomorphisms of some complete ultra-metric Hopf algebras, irreducible sub-algebras of matrix Weyl algebras, the length of conjugacy classes and P-nilpotence of finite groups, a symbolic calculus on defect revisions of axiomatic systems, and conformal field theory and modular functor.
Later Araujo ([1]) made a study of these maps in his thesis and has characterized Banach-Stone maps T , as those isometric isomorphisms which take invertible elements to invertible elements or maximal ideals to maximal ideals etc.
Furthermore, in the case of Riesz bases we prove that those functions are isomorphisms.