Fermat's little theorem and Euler's theorem in a class of rings

被引：1

作者：

de Melo Hernandez, Fernanda D. ^{[1
]}

Hernandez Melo, Cesar A. ^{[1
]}

Tapia-Recillas, Horacio ^{[2
]}

机构：

[1] Univ Estadual Maringa, Dept Matemat, Ave Colombo 5790, BR-87020900 Maringa, PR, Brazil

[2] Univ Autonoma Metropolitana Iztapalapa, Dept Matemat, Cdmx, Brazil

来源：

COMMUNICATIONS IN ALGEBRA | 2022年 / 50卷 / 07期

关键词：

Euler Theorem; Fermat's Little Theorem; ring;

D O I：

10.1080/00927872.2021.2024841

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Considering Z(n) the ring of integers modulo n, the classical Fermat-Euler theorem establishes the existence of a specific natural number phi(n) satisfying the following property: x(phi(n))=1 for all x belonging to the group of units of Z(n). In this manuscript, this result is extended to a class of rings that satisfies some mild conditions.

引用

页码：3064 / 3078

页数：15

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