Definition of homomorphism in English:

homomorphism

noun

Mathematics
  • A transformation of one set into another that preserves in the second set the relations between elements of the first.

    • ‘There are structure-preserving functions, representing homomorphisms, from points of space-time to appropriate structures defined from real numbers.’
    • ‘He lectured on and wrote up notes on Tate's theorem on homomorphisms between abelian varieties over finite fields.’
    • ‘A lecturer could not readily fix this problem by adding supplementary material because continuous homomorphisms have been defined too narrowly.’
    • ‘Groups with group homomorphisms constitute a category.’

Pronunciation:

homomorphism

/ˌhɒmə(ʊ)ˈmɔːfɪz(ə)m/