English

A type of the entropy of an ideal

Number Theory 2022-10-24 v1

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.

Keywords

Cite

@article{arxiv.2210.12149,
  title  = {A type of the entropy of an ideal},
  author = {Nicusor Minculete and Diana Savin},
  journal= {arXiv preprint arXiv:2210.12149},
  year   = {2022}
}

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10 pages