activity
20092023
most citedSome properties of the symbol algebras

17 citations · 62 across the 27 of their papers we have counts for

collaborators

31 papers

math.NT2023

Some properties of a type of the entropy of an ideal and the divergence of two ideals

Nicusor Minculete, Diana Savin

The aim of this paper is to study certain properties of the Kullback-Leibler distance between two positive integer numbers or between two ideals. We present some results related th…

math.AC2023

The lattice of ideals of certain rings

Diana Savin

Let be a unitary ring and let be the lattice of ideals of the ring In this article we will study the property of the lattice $(\mathbf{I(A),\s…

math.NT2023

Division quaternion algebras over some cyclotomic fields

Diana Savin

Let be two distinct prime integers, let be a positive integer, and let be a primitive root of order of the unity. In this paper we obtai…

math.NT2022

A type of the entropy of an ideal

Nicusor Minculete, Diana Savin

In this article we find some properties of certain types of entropies of a natural number. Also, regarding the entropy H of a natural number, introduced by Minculete and Pozna, we…

math.NT2020

On quaternion algebras over some extensions of quadratic number fields

Vincenzo Acciaro, Diana Savin, Mohammed Taous +1

Let and be two positive primes. Let be an odd positive prime integer and a quadratic number field. Let be an extension of such that is a dihedral ext…

math.RA2020

Some properties of the norm in a quaternion division algebra

Cristina Flaut, Diana Savin

In this paper we provide some applications of the norm form in some quaternion division algebras over rational field and we give some properties of Fibonacci sequence and Fibonacci…