Definition of homomorphism in English:


Line breaks: homo|morph|ism
Pronunciation: /ˌhɒmə(ʊ)ˈmɔːfɪz(ə)m
, ˌhəʊm-/


A transformation of one set into another that preserves in the second set the relations between elements of the first.
More example sentences
  • He lectured on and wrote up notes on Tate's theorem on homomorphisms between abelian varieties over finite fields.
  • There are structure-preserving functions, representing homomorphisms, from points of space-time to appropriate structures defined from real numbers.
  • A lecturer could not readily fix this problem by adding supplementary material because continuous homomorphisms have been defined too narrowly.

Definition of homomorphism in:

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