isomorphism

English

Etymology

iso- + -morphism

Pronunciation

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Noun

isomorphism (plural isomorphisms)

1. Similarity of form
   • 1984 Brigitte Asbach-Schnitker, "Introduction", Mercury or The Secret and Swift Messenger, ISBN 9027232768.

     The postulated isomorphism between words and things constitutes the characterizing feature of all philosophically based universal languages.

1. (biology) the similarity in form of organisms of different ancestry
2. (chemistry) the similarity in the crystal structures of similar chemical compounds
   • 1874 C. Rammelsberg, "Crystallographic and chemical relations of the natural sulphides, arsenides, and sulpharsenides", The Chemical News and Journal of Physical Science, page 197.

     The isomorphism of compounds does not prove the isomorphism of their respective constituents.

3. (sociology) the similarity in the structure or processes of different organizations

1. A one-to-one correspondence

1. (group algebra) A bijection f such that both f and its inverse f ⁻¹ are homomorphisms, that is, structure-preserving mappings.
2. (computer science) a one-to-one correspondence between all the elements of two sets, e.g. the instances of two classes, or the records in two datasets

Related terms

• isomorphic
• isomorphous

Translations

the similarity in form of organisms of different ancestry

• Bulgarian: изоморфизъм (bg) (izomorfizǎm) m
• Czech: izomorfismus (cs) m
• French: isomorphisme (fr) m
• Hungarian: izomorfizmus (hu)
• Italian: isomorfismo (it) m

• Portuguese: isomorfismo (pt) m
• Russian: изоморфизм (ru) (izomorfizm) m
• Serbo-Croatian: izomorfizam (sh) m
• Spanish: isomorfismo (es) m
• Ukrainian: ізоморфізм (uk) (izomorfizm) m

bidirectionally structure-preserving bijection

• Czech: izomorfismus (cs) m
• Esperanto: izomorfio (eo)
• German: Isomorphismus (de) m

• Icelandic: einsmótun (is) f
• Spanish: isomorfismo (es) m

See also

• Isomorphism on Wikipedia.Wikipedia