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HOMOMORPHISM [5 records]
Record 1 - internal organization data 2026-01-08
Record 1, English
Record 1, Subject field(s)
- Artificial Intelligence
Record 1, Main entry term, English
- partial homomorphism
1, record 1, English, partial%20homomorphism
correct
Record 1, Abbreviations, English
Record 1, Synonyms, English
Record 1, French
Record 1, Domaine(s)
- Intelligence artificielle
Record 1, Main entry term, French
- homomorphisme partiel
1, record 1, French, homomorphisme%20partiel
correct, masculine noun
Record 1, Abbreviations, French
Record 1, Synonyms, French
Record 1, Textual support, French
Record 1, Spanish
Record 1, Textual support, Spanish
Record 2 - internal organization data 2015-12-30
Record 2, English
Record 2, Subject field(s)
- IT Security
Record 2, Main entry term, English
- homomorphic cryptosystem
1, record 2, English, homomorphic%20cryptosystem
correct
Record 2, Abbreviations, English
Record 2, Synonyms, English
Record 2, Textual support, English
Record number: 2, Textual support number: 1 CONT
Typically, a third party can calculate one of the encrypted sum or the encrypted product of two encrypted messages. This is possible due to the fact that the encryption function is a group homomorphism, and thus preserves group operations. This makes homomorphic cryptosystems useful in a wide variety of privacy preserving protocols. 2, record 2, English, - homomorphic%20cryptosystem
Record number: 2, Textual support number: 1 PHR
Fully homomorphic cryptosystem, partially homomorphic cryptosystem. 3, record 2, English, - homomorphic%20cryptosystem
Record 2, French
Record 2, Domaine(s)
- Sécurité des TI
Record 2, Main entry term, French
- cryptosystème homomorphe
1, record 2, French, cryptosyst%C3%A8me%20homomorphe
correct, masculine noun
Record 2, Abbreviations, French
Record 2, Synonyms, French
Record 2, Textual support, French
Record number: 2, Textual support number: 1 CONT
Notre idée a été de fournir aux prisonniers une garantie du respect de leur vie privée tout en utilisant un cryptosystème homomorphe dont les performances sont acceptables. 2, record 2, French, - cryptosyst%C3%A8me%20homomorphe
Record 2, Spanish
Record 2, Textual support, Spanish
Record 3 - internal organization data 1999-01-19
Record 3, English
Record 3, Subject field(s)
- Mathematics
Record 3, Main entry term, English
- homomorphism
1, record 3, English, homomorphism
correct
Record 3, Abbreviations, English
Record 3, Synonyms, English
- morphism 2, record 3, English, morphism
correct
Record 3, Textual support, English
Record number: 3, Textual support number: 1 DEF
A function between two algebraic systems of the same type which preserves the algebraic operations. 3, record 3, English, - homomorphism
Record 3, French
Record 3, Domaine(s)
- Mathématiques
Record 3, Main entry term, French
- homomorphisme
1, record 3, French, homomorphisme
correct
Record 3, Abbreviations, French
Record 3, Synonyms, French
- morphisme 2, record 3, French, morphisme
correct, masculine noun
Record 3, Textual support, French
Record number: 3, Textual support number: 1 DEF
Application, mappage, correspondance ou fonction surjective, injective ou bijective définie entre deux ensembles algébriques. 2, record 3, French, - homomorphisme
Record number: 3, Textual support number: 1 OBS
L'homomorphisme surjectif est aussi appelé épimorphisme, l'homomorphisme injectif est un monomorphisme et l'homomorphisme bijectif est un isomorphisme. Tout homomorphisme surjectif de corps est un isomorphisme. 2, record 3, French, - homomorphisme
Record number: 3, Textual support number: 1 PHR
L'homomorphisme de groupe se décompose canoniquement. 2, record 3, French, - homomorphisme
Record number: 3, Textual support number: 2 PHR
définir un homomorphisme. 2, record 3, French, - homomorphisme
Record number: 3, Textual support number: 3 PHR
homomorphisme bijectif, canonique, injectif, relatif, surjectif. 2, record 3, French, - homomorphisme
Record number: 3, Textual support number: 4 PHR
homomorphisme d'algèbre, d'anneaux, de corps, de groupe, de modules, d'espace vectoriel, d'un ensemble dans un autre. 2, record 3, French, - homomorphisme
Record number: 3, Textual support number: 5 PHR
composé de deux homomorphismes, noyau d'un homomorphisme. 2, record 3, French, - homomorphisme
Record 3, Spanish
Record 3, Textual support, Spanish
Record 4 - internal organization data 1988-05-02
Record 4, English
Record 4, Subject field(s)
- Arithmetic and Number Theory
Record 4, Main entry term, English
- embedding
1, record 4, English, embedding
correct, noun
Record 4, Abbreviations, English
Record 4, Synonyms, English
Record 4, Textual support, English
Record number: 4, Textual support number: 1 DEF
An injective homomorphism between two algebraic systems of the same type. 1, record 4, English, - embedding
Record 4, French
Record 4, Domaine(s)
- Arithmétique et théorie des nombres
Record 4, Main entry term, French
- plongement
1, record 4, French, plongement
correct, masculine noun
Record 4, Abbreviations, French
Record 4, Synonyms, French
Record 4, Textual support, French
Record number: 4, Textual support number: 1 CONT
Un plongement de E dans F signifie que l'on identifie E à son image dans F par un homomorphisme canonique de E dans F. 1, record 4, French, - plongement
Record 4, Spanish
Record 4, Textual support, Spanish
Record 5 - internal organization data 1987-05-22
Record 5, English
Record 5, Subject field(s)
- Modern Mathematics
Record 5, Main entry term, English
- character
1, record 5, English, character
correct
Record 5, Abbreviations, English
Record 5, Synonyms, English
- group character 1, record 5, English, group%20character
correct
Record 5, Textual support, English
Record number: 5, Textual support number: 1 DEF
A character of a group G is a homomorphism of G into the group of complex numbers of absolute value 1.... 1, record 5, English, - character
Record 5, French
Record 5, Domaine(s)
- Mathématiques modernes
Record 5, Main entry term, French
- caractère
1, record 5, French, caract%C3%A8re
correct, masculine noun
Record 5, Abbreviations, French
Record 5, Synonyms, French
Record 5, Textual support, French
Record number: 5, Textual support number: 1 OBS
caractère : Soit G un groupe commutatif localement compact. On appelle caractère de G un morphisme continu [khi] de G dans le groupe commutatif U des nombres complexes du module 1. 1, record 5, French, - caract%C3%A8re
Record 5, Spanish
Record 5, Textual support, Spanish
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