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A structure-preserving map between two algebraic structures of the same type, such as groups, rings, or vector spaces.
Definition source: English Wiktionary via Wiktextract
Topics: algebra, mathematics, sciences
Examples
- 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.
Meaning relationships
Synonyms: none provided
Antonyms: none provided
A similar appearance of two unrelated organisms or structures, as for example with fish and whales.
Definition source: English Wiktionary via Wiktextract
Topics: biology, natural-sciences
No example sentence was provided for this meaning.
Meaning relationships
Synonyms: none provided
Antonyms: none provided
similarity of form
Definition source: Princeton WordNet 3.0
No example sentence was provided for this meaning.
Meaning relationships
Synonyms: homomorphy
Antonyms: none provided
Broader terms: similarity
Across languages
Translations
30 source translations are retained for this English entry.
-
Arabic:
تَشَاكُل
(tašākul)
— notion in mathematics
-
Armenian:
հոմոմորֆիզմը
(homomorfizmə)
— notion in mathematics
-
Bulgarian:
хомоморфизъм
(homomorfizǎm)
— notion in mathematics
-
Czech:
homomorfismus
— notion in mathematics
-
Danish:
homomorfi
— notion in mathematics
-
Dutch:
homomorfisme
— notion in mathematics
-
Finnish:
homomorfismi
— notion in mathematics
-
French:
homomorphisme
— notion in mathematics
-
Georgian:
ჰომომორფიზმი
(homomorpizmi)
— notion in mathematics
-
German:
Homomorphismus
— notion in mathematics
-
Greek:
ομομορφισμός
(omomorfismós)
— notion in mathematics
-
Hindi:
समाकारिता
(samākāritā)
— notion in mathematics
-
Hungarian:
homomorfizmus
— notion in mathematics
-
Icelandic:
mótun
— notion in mathematics
-
Icelandic:
sammótun
— notion in mathematics
-
Irish:
homamorfacht
— notion in mathematics
-
Italian:
omomorfismo
— notion in mathematics
-
Lithuanian:
homomorfizmas
— notion in mathematics
-
Persian:
همریختی
— notion in mathematics
-
Polish:
homomorfizm
— notion in mathematics
-
Portuguese:
homomorfismo
— notion in mathematics
-
Punjabi:
ਹੋਮੋਮੌਰਫਿਜ਼ਮ
(homomaurphizam)
— notion in mathematics
-
Russian:
гомоморфи́зм
(gomomorfízm)
— notion in mathematics
-
Serbo-Croatian:
homomorfizam
— notion in mathematics
-
Slovene:
homomorfizem
— notion in mathematics
-
Spanish:
homomorfismo
— notion in mathematics
-
Swedish:
homomorfi
— notion in mathematics
-
Swedish:
homomorfism
— notion in mathematics
-
Ukrainian:
гомоморфізм
(homomorfizm)
— notion in mathematics
-
Vietnamese:
phép đồng cấu
— notion in mathematics
