Definition of homomorphism in English:


Syllabification: ho·mo·mor·phism
Pronunciation: /ˌhōməˈmôrˌfizəm


  • 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.

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