Graded von Neumann regularity of rings graded by semigroups

被引：1
|
作者：
Lannstrom, Daniel [1 ]
Oinert, Johan [1 ]
机构：
[1] Blekinge Inst Technol, Dept Math & Nat Sci, S-37179 Karlskrona, Sweden
来源：
BEITRAGE ZUR ALGEBRA UND GEOMETRIE-CONTRIBUTIONS TO ALGEBRA AND GEOMETRY | 2024年 / 65卷 / 01期
关键词：
Graded ring; Regular ring; von Neumann regular ring; Semigroup; Groupoid;
D O I：
10.1007/s13366-022-00673-9
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this article, we give a complete characterization of semigroup graded rings which are graded von Neumann regular. We also demonstrate our results by applying them to several classes of examples, including matrix rings and groupoid graded rings.
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页码：13 / 21
页数：9
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