Partial Foundation of Neutrosophic Number Theory

Autor:	Mohammad Abobala
Jazyk:	angličtina
Rok vydání:	2021
Předmět:	partial order neutrosophic euler's theorem neutrosophic integers neutrosophic congruence neutrosophic pell's equation Mathematics QA1-939 Electronic computers. Computer science QA75.5-76.95
Zdroj:	Neutrosophic Sets and Systems, Vol 39, Pp 117-132 (2021)
Druh dokumentu:	article
ISSN:	2331-6055 2331-608X
DOI:	10.5281/zenodo.4444335
Popis:	The aim of this paper is to establish a partial foundation of number theoretical concepts in the neutrosophic ring of integers 𝑍(𝐼) because it is based on a partial order relationship. This work partially generalizes and deals with necessary and sufficient conditions for division, Euler's function, congruencies, and some other classical concepts in 𝑍(𝐼). The main result of this work is to show that Euler's famous theorem is still true in the case of neutrosophic integers for our partial ordering relationship. Also, this work introduces an algorithm to solve Pell's equation in the neutrosophic ring of integers Z(I)
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/0ede2bdd6bae4ef2a0db48f69efd8b7b Zobrazit plný text záznamu View record in DOAJ