homomorphism

suomi-englanti sanakirja

homomorphism englannista suomeksi

1. homomorfismi

0. Substantiivi

1. homomorfismi

homomorphism englanniksi

1. (senseid) A structure-preserving (l) between two structures of the same type, such as (l), (l), or spaces. (C)

(cot)

''A field homomorphism is a map from one field to another one which is additive, multiplicative, zero-preserving, and unit-preserving.''

2. 1954, Kuo-Tsai Chen, ''Iterated Integrals and Exponential Homomorphisms'', ''Proceedings of the London Mathematical Society'', Reprinted in 2001, Philippe Tondeur (editor), ''Collected Papers of K.-T. Chen'', Birkhäuser, page 54,

This motivates a generalization, and exponential homomorphisms are now defined, in an algebraic fashion, from certain free products to formal power series rings with non-commutative indeterminates.

3. {{quote-book|en|year=1997|author=Glen E. Bredon|title=Sheaf Theory|edition=2nd|pageurl=https://books.google.com.au/books?id=zGdqWepiT1QC&pg=PA8&dq=%22homomorphism%22%7C%22homomorphisms%22&hl=en&sa=X&ved=0ahUKEwih6PuL1InbAhWQl5AKHfrYAqEQ6AEIdzAPv=onepage&q=%22homomorphism%22%7C%22homomorphisms%22&f=false|page=8|publisher=Springer

4. {{quote-book|en|year=2003|author=Brian C. Hall|title=Lie Groups, Lie Algebras, and Representations: An Elementary Introduction|pageurl=https://books.google.com.au/books?id=m1VQi8HmEwcC&pg=PA17&dq=%22homomorphism%22%7C%22homomorphisms%22&hl=en&sa=X&ved=0ahUKEwih6PuL1InbAhWQl5AKHfrYAqEQ6AEIfTAQv=onepage&q=%22homomorphism%22%7C%22homomorphisms%22&f=false|page=17|publisher=Springer

5. (senseid) A similar appearance of two unrelated organisms or structures, as for example with fish and whales.

(cot)