Unique factorization and S-Picard groups of domains of power series

被引：3

作者：

Hamed, Ahmed ^{[1
]}

Kim, Hwankoo ^{[2
]}

机构：

[1] Univ Monastir, Dept Math, Monastir, Tunisia

[2] Hoseo Univ, Div Comp & Informat Engn, Asan 31499, South Korea

来源：

COMMUNICATIONS IN ALGEBRA | 2019年 / 47卷 / 08期

基金：

新加坡国家研究基金会;

关键词：

Formal power series; UFD; -domain; Krull domain; S-invertible ideal; S-Picard group; RINGS;

D O I：

10.1080/00927872.2018.1559324

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We first characterize unique factorization domains of power series. Then we study S-invertible ideals of domains of formal power series. The concept of the S-Picard group of an integral domain is introduced and studied.

引用

页码：3359 / 3370

页数：12

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