Results 111 to 120 of about 1,334 (223)

Unlikely intersections on the p-adic formal ball. [PDF]

Res Number Theory, 2023
Serban V.
europepmc   +1 more source

Rings whose modules are projective over endomorphism rings [PDF]

, 1974
Let R R be either an Artin ring or a commutative ring. We show that every R R -module is projective over its endomorphism ring if and only if R R is uniserial.
Robert L. Snider
core   +1 more source

Constructing elliptic curve isogenies in quantum subexponential time

Journal of Mathematical Cryptology, 2014
Given two ordinary elliptic curves over a finite field having the same cardinality and endomorphism ring, it is known that the curves admit a nonzero isogeny between them, but finding such an isogeny is believed to be computationally difficult.
Childs Andrew, Jao David, Soukharev Vladimir   +2 more
doaj   +1 more source

Endomorphism Rings in Cryptography.

, 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

© Hindawi Publishing Corp. PROJECTIVITY AND FLATNESS OVER THE ENDOMORPHISM RING OF A FINITELY GENERATED MODULE [PDF]

, 2003
Let A be a ring and Λ a finitely generated A-module. We give necessary and sufficient conditions for projectivity and flatness of a module over the endomorphism ring of Λ. 2000 Mathematics Subject Classification: 16D40, 16W30. 1.
S. Caenepeel, T. Guédénon
core  

Lattices in Tate modules. [PDF]

Proc Natl Acad Sci U S A, 2021
Poonen B, Rybakov S.
europepmc   +1 more source

A new approach to (dual) Rickart modules via isomorphisms

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica
In the past few decades, researchers have found that studying modules using endomorphisms is a powerful and useful tool. This has led to valuable works in this field.
Asgari S., Talebi Y., Moniri Hamzekolaee A. R.   +2 more
doaj   +1 more source

Closed ss-semilocal modules and rings

Open Mathematics
A module A is designated as closed ss -semilocal module provided for any closed submodule G of A, there exists a submodule H of A such that A = G + H and G ∩ H ≤ Soc s(A) where Soc s(A) = Rad(A) ∩ Soc(A) and a ring S is named as closed ss -semilocal ring
Önal Kır Emine
doaj   +1 more source

p-adic vertex operator algebras. [PDF]

Res Number Theory, 2023
Franc C, Mason G.
europepmc   +1 more source

Pairing-based methods for genus 2 jacobians with maximal endomorphism ring [PDF]

, 2013
Using Galois cohomology, Schmoyer characterizes cryptographic non-trivial self-pairings of the \ell-Tate pairing in terms of the action of the Frobenius on the \ell-torsion of the Jacobian of a genus 2 curve.
Sorina Ionica
core