A type of the entropy of an ideal
Nicusor Minculete, Diana Savin
TL;DR
This paper explores properties of entropy related to natural numbers and ideals, generalizing existing entropy concepts and establishing inequalities involving exponential divisors.
Contribution
It generalizes the entropy H of natural numbers to ideals and derives new properties and inequalities for these entropies.
Findings
Properties of entropy for natural numbers and ideals are established.
Generalization of entropy H from natural numbers to ideals.
Inequalities involving entropy of exponential divisors are proved.
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.
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Taxonomy
TopicsRings, Modules, and Algebras