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

2023/05/13 by Nicuşor Minculete, Minculete, Nicusor, Diana Savin +1
Mathematics · #11A25 #11A51 #47B06 #94A17 #Advanced Mathematical Identities #Analytic Number Theory Research #Commutative Algebra (math.AC) #FOS: Mathematics #Mathematical Inequalities and Applications #Number Theory (math.NT) #Primary: 28D20 #Secondary: 11S15

paper · pdf · doi:10.48550/arxiv.2305.07975

openalex publication_date 2023/05/13 · openalex created_date 2023/05/17 · openalex updated_date 2026/07/28

Abstract

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 the entropy of a positive integer number and the divergence of two numbers. We also study the entropy of some types of ideals and the divergence of two ideals. Finally, 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.

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