A type of the entropy of an ideal

2022/10/21 by Nicuşor Minculete, Minculete, Nicusor, Diana Savin +1
Mathematics · #Rings, Modules, and Algebras

paper · pdf · doi:10.48550/arxiv.2210.12149

Abstract

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 generalize this notion for ideals and we find some of its properties. In the last section we find some inequalities, involving the entropy H of an exponential divisor of a positive integer, respectively the entropy H of an exponential divisor of an ideal.

Related

• Some properties of a type of the entropy of an ideal and the divergence of two ideals
• Some results about entropy and divergence in number theory
• Entropy modulo a prime
• Entropic additive energy and entropy inequalities for sums and products
• Study Entropy of L-algebras