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isomorphic adjective

  /ˌaɪ.soʊˈmɔɹ.fɪk/ , /ˌaɪ.səˈmɔː.fɪk/
  • (mathematics) Related by an isomorphism; having a structure-preserving one-to-one correspondence.
  • Having identical relevant structure; being structure-preserving while undergoing certain invertible transformations.
 isomorf

isomorphism noun

  /ˌaɪsə(ʊ)ˈmɔɹfɪzəm/
  • (category theory) A morphism which has a two-sided inverse; the composition of the morphism and such an inverse yields either one of two identity morphisms (depending on the order of composition).
  • (group algebra) A bijection f such that both f and its inverse f −1 are homomorphisms, that is, structure-preserving mappings.
 isomorfism
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