On the additive and multiplicative structures of the exceptional units in finite commutative rings

被引：4

作者：

Hu, Su ^{[1
]}

Sha, Min ^{[2
]}

机构：

[1] South China Univ Technol, Dept Math, Guangzhou 510640, Guangdong, Peoples R China

[2] Macquarie Univ, Dept Comp, Sydney, NSW 2109, Australia

来源：

PUBLICATIONES MATHEMATICAE-DEBRECEN | 2019年 / 94卷 / 3-4期

基金：

中国国家自然科学基金;

关键词：

exceptional unit; finite commutative ring; character sum; SUMSETS;

D O I：

10.5486/PMD.2019.8319

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let R be a commutative ring with identity. A unit u of R is called exceptional if 1- u is also a unit. When R is a finite commutative ring, we determine the additive and multiplicative structures of its exceptional units; and then as an application we find a necessary and sufficient condition under which R is generated by its exceptional units.

引用

页码：369 / 380

页数：12

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