One of the mysteries of the English language finally explained.
A transformation of one set into another that preserves in the second set the relations between elements of the first.
- ‘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.’
- ‘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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