Results 101 to 110 of about 1,334 (223)

New Class of S-Pseudo Bounded Modules With Some Related Concepts [version 2; peer review: 1 approved, 3 approved with reservations, 1 not approved]

F1000Research
In the present study , every module M is unitary and every ring F is commutative with identity. We gave a definition of a new class F − module which is namely S-pseudo bounded module symbolically (S-PS.B.
Amal Madhi Rashid, Buthyna Najad Shihab
doaj   +1 more source

Computing global dimension of endomorphism rings via ladders [PDF]

, 2016
This paper deals with computing the global dimension of endomorphism rings of maximal Cohen–Macaulay (=MCM) modules over commutative rings. Several examples are computed.
Faber, E, Ingalls, C, Doherty, B
core   +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  

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

Endomorphism rings of permutation modules

Journal of Algebra, 2010
Let \(k\) be an algebraically closed field, let \(G\) be a finite group, and let \(P\) be a Sylow \(p\)-subgroup of \(G\). In this paper, the author studies the permutation module \(k_P^G=\mathrm{Ind}_P^G(k)\) and its endomorphism ring \(\mathfrak E=\mathrm{End}_{kG}(k_P^G)\). The paper is motivated by \textit{J. L. Alperin}'s suggestion to investigate
openaire   +1 more source

On the structure of the endomorphism ring of a certain local cohomology module [PDF]

, 2011
Let (R,m) denote an n-dimensional Gorenstein ring. For an ideal I⊂R of height c we are interested in the endomorphism ring B=HomR(HIc(R),HIc(R)). It turns out that B is a commutative ring. In the case of (R,m) a regular local ring containing a field B is
Peter Schenzel, Schenzel, Peter
core   +1 more source

Spectral curves with complex multiplication in Hermitian matrix models

Nuclear Physics B
We show that elliptic curves with complex multiplication (CM) naturally emerge in the spectral geometry of Hermitian one-matrix models in the two-cut phase.
Ali Nassar
doaj   +1 more source

Computing the endomorphism ring of a supersingular elliptic curve from a full rank suborder [PDF]

In this paper, we study the problem of computing the endomorphism ring of a supersingular elliptic curve given the knowledge of a full rank suborder. We provide a polynomial time quantum algorithm to solve this problem in full generality.
Petit, Christophe; id_orcid, Chen, Mingjie   +1 more
core   +1 more source

Computing the geometric endomorphism ring of a genus 2 Jacobian [PDF]

, 2018
We describe an algorithm, based on the properties of the characteristic polynomials of Frobenius, to compute EndK(A) when A is the Jacobian of a nice genus-2 curve over a number field K.
Davide Lombardo
core   +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