Results 81 to 90 of about 24,660 (205)

Rational torsion points on abelian surfaces with quaternionic multiplication

Forum of Mathematics, Sigma
Let A be an abelian surface over ${\mathbb {Q}}$ whose geometric endomorphism ring is a maximal order in a non-split quaternion algebra. Inspired by Mazur’s theorem for elliptic curves, we show that the torsion subgroup of $A({\mathbb {Q}})$
Jef Laga, Ciaran Schembri, Ari Shnidman, John Voight   +3 more
doaj   +1 more source

Subrings of I-rings and S-rings

International Journal of Mathematics and Mathematical Sciences, 1997
Let R be a non-commutative associative ring with unity 1≠0, a left R-module is said to satisfy property (I) (resp. (S)) if every injective (resp. surjective) endomorphism of M is an automorphism of M.
Mamadou Sanghare
doaj   +1 more source

On (σ, δ)(S, 1) rings and their extensions [PDF]

Mathematica Moravica, 2017
Let R be a ring, σ an endomorphism of R and δ a σ derivation of R. We recall that R is called an (S, 1)-ring if for a, b _ R, ab = 0 implies aRb = 0. We involve σ and δ to generalize this notion and say that R is a (σ, δ) - (S, 1) ring if for a, b _ R ...
Bhat Kumar Vijay
doaj  

Injective endomorphisms and maximal left ideals of left Artinian rings [PDF]

, 1988
J. C. Wilkinson
openalex   +1 more source

Matrix representations of endomorphism rings for torsion-free abelian groups

, 2023
E. A. Blagoveshchenskaya, A. V. Mikhalëv   +1 more
openalex   +2 more sources

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

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

Complex Multiplication Tests for Elliptic Curves

, 2004
We consider the problem of checking whether an elliptic curve defined over a given number field has complex multiplication. We study two polynomial time algorithms for this problem, one randomized and the other deterministic. The randomized algorithm can
Charles, Denis
core   +1 more source

Stable finiteness of endomorphism rings [PDF]

, 2022
Simone Virili
openalex   +1 more source

Towards quantum-resistant cryptosystems from supersingular elliptic curve isogenies

Journal of Mathematical Cryptology, 2014
We present new candidates for quantum-resistant public-key cryptosystems based on the conjectured difficulty of finding isogenies between supersingular elliptic curves. The main technical idea in our scheme is that we transmit the images of torsion bases
De Feo Luca, Jao David, Plût Jérôme
doaj   +1 more source

Finite rank torsion-free abelian groups uniserial over their endomorphism rings [PDF]

, 1985
Jutta Hausen
openalex   +1 more source