In this paper, we present some applications of a difference equation of degree k. Using such
an equation, we provide an algorithm for messages encryption and decryption. Moreover, by …

Some properties of Fibonacci numbers, Fibonacci octonions, and generalized Fibonacci-Lucas
octonions | Advances in Continuous and Discrete Models Skip to main content SpringerLink …

Analytic number theory is a branch of number theory which inherits methods from
mathematical analysis in order to solve difficult problems about the integers. Analytic …

About division quaternion algebras and division symbol algebras Page 1 CARPATHIAN J.
MATH. 32 (2016), No. 2, 233 - 240 Online version at http : //Carpathian . ubm. ro Print Edition …

In this paper, we define a special class of elements in the algebras obtained by the Cayley–
Dickson process, called l− elements. We find conditions such that these elements to be …

Let K be a field such that all vector spaces over K are finite dimensional. Let A be a simple K-
algebra and Z (A) be the centre of A. We recall that the K-algebra A is called central simple if …

Most mathematical notions have connections with real life. Although the theory of rings and
algebras is abstract, however, this theory has many applications, some indirect, in real life …

First, we formulate the mixed initial boundary value problem in the theory of thermoelastic
microstretch bodies having certain internal state variables. Then by using some …

Symbol algebras have many applications in various domains of mathematics, for example,
number theory (class field theory). Since these algebras are a natural generalization of the …

The aim of our paper is the study of the spatial evolution of vibrations in the context of
Thermoelasticity without energy dissipation for dipolar bodies. Once we get an a priori …