Results 21 to 30 of about 17,375 (238)

On p-Adic Estimates of Weights in Abelian Codes over Galois Rings [PDF]

, 2005
Let p be a prime. We prove various analogues and generalizations of McEliece's theorem on the p-divisibility of weights of words in cyclic codes over a finite field of characteristic p. Here we consider Abelian codes over various Galois rings.
Katz, Daniel Jerome
core   +1 more source

Quantum Money from Abelian Group Actions [PDF]

TheoretiCS
We give a construction of public key quantum money, and even a strengthened version called quantum lightning, from abelian group actions, which can in turn be constructed from suitable isogenies over elliptic curves.
Mark Zhandry
doaj   +1 more source

A note on abelian groups [PDF]

Proceedings of the American Mathematical Society, 1953
Vijayaraghavan and Chowla [2] have proved the following result. If n=2 or has no primitive root, then there exist suitable reduced residue systems rl, r2, , * * , rh and sl, S2 , . * Sh, where h= 4(n), such that risi, r2s2, * , rhsh is also a complete residue system (mod n).
openaire   +2 more sources

Abelian variety with Tate-Shafarevich group of non-square order [PDF]

, 2022
Every abelian variety has an associated Tate-Shafarevich group defined using cohomology. Cassels and Tate proved the existence of a pairing on this group.
Troletti, Daniele
core  

The Abelian Kernel of an Inverse Semigroup

Mathematics, 2020
The problem of computing the abelian kernel of a finite semigroup was first solved by Delgado describing an algorithm that decides whether a given element of a finite semigroup S belongs to the abelian kernel.
A. Ballester-Bolinches, V. Pérez-Calabuig   +1 more
doaj   +1 more source

Some special classes of n-abelian groups [PDF]

International Journal of Group Theory, 2012
Let n be an integer. A group G is said to be n-abelian if the map phi_n that sends g to g^n is an endomorphism of G. Then (xy)^n=x^ny^n for all x,y in G, from which it follows [x^n,y]=[x,y]^n=[x,y^n]. It is also easy to see that a group G is n-abelian if
Costantino Delizia, Antonio Tortora
doaj  

On Group-Vertex-Magic Labeling of Simple Graphs

Cauchy: Jurnal Matematika Murni dan Aplikasi, 2023
Let A be an Abelian group with identity 0. The A-vertex-magic labeling of a graph G is a mapping from the set of vertices in G to A-{0} such that the sum of the labels of every open neighborhood vertex of v is equal, for every vertex v in G.
Muhammad Husnul Khuluq, Vira Hari Krisnawati, Noor Hidayat   +2 more
doaj   +1 more source

A Note on Additive Groups of Some Specific Torsion-Free Rings of Rank Three and Mixed Associative Rings

Discussiones Mathematicae - General Algebra and Applications, 2017
It is studied how rank two pure subgroups of a torsion-free Abelian group of rank three influences its structure and type set. In particular, the criterion for such a subgroup B to be a direct summand of a torsion-free Abelian group of rank three with ...
Najafizadeh Alireza, Woronowicz Mateusz
doaj   +1 more source

Utumi Abelian groups

Rendiconti del Seminario Matematico della Università di Padova, 2023
In a recent paper written by Y. Ibrahim and M. Yousif (2018), the following class of modules is considered: a right R -module M is called a Utumi
Călugăreanu, Grigore, Das, Soumitra
openaire   +2 more sources

Non-Abelian Pseudocompact Groups

Axioms, 2016
Here are three recently-established theorems from the literature. (A) (2006) Every non-metrizable compact abelian group K has 2|K| -many proper dense pseudocompact subgroups.
W. W. Comfort, Dieter Remus
doaj   +1 more source