Results 141 to 150 of about 55,047 (231)

fq-Derivations of G-Algebra

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2016
We introduce the notion of fq-derivation as a new derivation of G-algebra. For an endomorphism map f of any G-algebra X, we show that at least one fq-derivation of X exists. Moreover, for such a map, we show that a self-map dqf of X is fq-derivation of X
Deena Al-Kadi
doaj   +1 more source

Endomorphic GE-derivations

open access: yesAIMS Mathematics
Using the binary operation '$ {\Lsh} $' on a GE-algebra $ {X} $ given by $ {\Lsh}({x}, {y}) = ({y}{*} {x}){*} {x} $ and the GE-endomorphism $ {\Omega} : {X} \rightarrow {X} $, the notion of $ {\Omega}_{(l, r)} $-endomorphic (resp., $ {\Omega}_{(r, l ...
Young Bae Jun   +2 more
doaj   +1 more source

Computing supersingular endomorphism rings using inseparable endomorphisms

open access: yesJournal of Algebra
We give an algorithm for computing an inseparable endomorphism of a supersingular elliptic curve $E$ defined over $\mathbb F_{p^2}$, which, conditional on GRH, runs in expected $O(p^{1/2}(\log p)^2(\log\log p)^3)$ bit operations and requires $O((\log p)^2)$ storage.
Fuselier, Jenny   +4 more
openaire   +5 more sources

Endomorphism rings in cryptography [PDF]

open access: yes, 2011
La cryptographie est devenue indispensable afin de garantir la sécurité et l'intégrité des données transitant dans les réseaux de communication modernes. Ces deux dernières décennies, des cryptosystèmes très efficaces, sûr et riches en fonctionnalités ont été construits à partir de variétés abéliennes définies sur des corps finis. Cette thèse contribue
openaire   +3 more sources

Lattices in Tate modules. [PDF]

open access: yesProc Natl Acad Sci U S A, 2021
Poonen B, Rybakov S.
europepmc   +1 more source

Another look at rational torsion of modular Jacobians. [PDF]

open access: yesProc Natl Acad Sci U S A, 2022
Ribet KA, Wake P.
europepmc   +1 more source

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