Definition of homomorphism in English:
homomorphism
noun ˌhɒmə(ʊ)ˈmɔːfɪz(ə)mˌhəʊmə(ʊ)ˈmɔːfɪz(ə)mˌhoʊməˈmɔrfɪzəm
Mathematics A transformation of one set into another that preserves in the second set the relations between elements of the first.
Example sentencesExamples
- 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.
- Groups with group homomorphisms constitute a category.
- He lectured on and wrote up notes on Tate's theorem on homomorphisms between abelian varieties over finite fields.
Definition of homomorphism in US English:
homomorphism
nounˌhoʊməˈmɔrfɪzəmˌhōməˈmôrfizəm
Mathematics A transformation of one set into another that preserves in the second set the relations between elements of the first.
Example sentencesExamples
- 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.
- There are structure-preserving functions, representing homomorphisms, from points of space-time to appropriate structures defined from real numbers.
- Groups with group homomorphisms constitute a category.