homomorphism
homomorphism noun: a structure-preserving map between two algebraic structures of the same type, such as groups, rings, or vector spaces.
Noun
homomorphism (plural homomorphisms)
- A structure-preserving map between two algebraic structures of the same type, such as groups, rings, or vector spaces.
- A field homomorphism is a map from one field to another one which is additive, multiplicative, zero-preserving, and unit-preserving.
- 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.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...
- A similar appearance of two unrelated organisms or structures, as for example with fish and whales.
homomorphism meaning in Hindi, Tamil, Kannada and Punjabi
homomorphism in Hindi
- notion in mathematics
- समाकारिता samākāritā
homomorphism in Tamil
- தொடா அமைவியம், புனல்சார்பு, காப்பமைவியம்
homomorphism in Kannada
- ಸಮರೂಪತೆ, ಸಮಾಕಾರತೆ, ಹೊರರೂಪದಲ್ಲಿ, ಸಶವಾಗಿರುವುದು, ಏಕಜಾತೀಯತೆ, ಸಾಮ್ಯ
homomorphism in Punjabi
- notion in mathematics
- ਹੋਮੋਮੌਰਫਿਜ਼ਮ homomaurphizam
More languagesFewer languages
- homomorphism in Arabic
- تَشَاكُل tašākul
- homomorphism in Persian
- همریختی
- homomorphism in Vietnamese
- phép đồng cấu
Examples of homomorphism in a sentence
- A homomorphism of presheaves h#58;A#92;rightarrowB is a collection of homomorphisms h#95;U#58;A(U)#92;rightarrowB(U) commuting with restrictions.1997, Glen E. Bredon, Sheaf Theory, 2nd edition, Springer, page 8:
- A map #92;Phi from G to H is called a Lie group homomorphism if (1) #92;Phi is a group homomorphism and (2) #92;Phi is continuous.2003, Brian C. Hall, Lie Groups, Lie Algebras, and Representations: An Elementary Introduction, Springer, page 17:
Forms of homomorphism
| plural | homomorphisms |
|---|
Origin of homomorphism
From homo- + morphism.
Words formed from homomorphism
Questions about homomorphism
- What does homomorphism mean?
- Homomorphism means a structure-preserving map between two algebraic structures of the same type, such as groups, rings, or vector spaces.
- What is homomorphism in Hindi?
- Homomorphism in Hindi is समाकारिता (samākāritā). See Homomorphism meaning in Hindi.
- How do you use homomorphism in a sentence?
- A homomorphism of presheaves h#58;A#92;rightarrowB is a collection of homomorphisms h#95;U#58;A(U)#92;rightarrowB(U) commuting with restrictions.
- What part of speech is homomorphism?
- Homomorphism is a noun.
- What is the plural of homomorphism?
- The plural of homomorphism is homomorphisms.
Words near homomorphism in the dictionary
Source and license
Adapted from Wiktionary: homomorphism (page history and authors); homomorphism (Tamil Wiktionary) (page history and authors); homomorphism (Kannada Wiktionary) (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.
Last updated:
Pronunciation audio from Wikimedia Commons, each file under its own free license: LL-Q1860 (eng)-Flame, not lame-homomorphism.wav.
Cite this entry: “homomorphism.” Word.ws, https://word.ws/homomorphism. Based on Wiktionary, CC BY-SA 4.0.