Semigroup rings which are strongly nil-clean

被引：0
|
作者：
Guo, Junying [1 ]
Guo, Xiaojiang [2 ,3 ]
机构：
[1] Jiangxi Normal Univ, Coll Sci & Technol, Gongqing City 332020, Jiangxi, Peoples R China
[2] Jiangxi Normal Univ, Jiangxi Prov Ctr Appl Math, Nanchang 330022, Jiangxi, Peoples R China
[3] Jiangxi Normal Univ, Sch Math & Stat, Nanchang 330022, Jiangxi, Peoples R China
来源：
JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2024年
基金：
中国国家自然科学基金;
关键词：
Two-group; congruence; GV-semigroup; semigroup ring; strongly (uniquely) nil-clean ring;
D O I：
10.1142/S0219498825502457
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Strongly nil-cleanness and uniquely nil-cleanness are two important clean properties of rings. The aim of this paper is to answer when a semigroup ring is strongly or uniquely nil-clean. We obtain conditions on a coefficient ring together with conditions on a semigroup that completely characterize when the corresponding semigroup ring is strongly nil-clean. Moreover, when the coefficient ring is an integral domain, we characterize when the corresponding semigroup ring is uniquely nil-clean.
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页数：27
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