isomorphism(redirected from Isomorphism (algebra))
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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.
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)
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.
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
The existence of two or more different substances which have the same crystal structure.