homomorphism
Etymology Noun
This text is extracted from the Wiktionary and it is available under the CC BY-SA 3.0 license | Terms and conditions | Privacy policy 0.002
Etymology Noun
homomorphism (plural homomorphisms)
(algebra) A structure-preserving map between two algebraic structures of the same type, such as group, ring, or vector spaces. - Coordinate term: homology
- A field homomorphism is a map from one field to another one which is additive, multiplicative, zero-preserving, and unit-preserving.
- 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.
(biology) A similar appearance of two unrelated organisms or structures, as for example with fish and whales. - Coordinate term: homology
- French: homomorphisme
- German: Homomorphismus
- Italian: omomorfismo
- Portuguese: homomorfismo
- Russian: гомоморфи́зм
- Spanish: homomorfismo
This text is extracted from the Wiktionary and it is available under the CC BY-SA 3.0 license | Terms and conditions | Privacy policy 0.002