Some results on Nonnil-multiplication rings

被引：5
|
作者：
Dabbabi, Abdelamir [1 ]
Moulahi, Samir [2 ,3 ]
机构：
[1] Univ Monastir, Fac Sci Monastir, Monastir 5000, Tunisia
[2] Univ Carthage, Fac Sci Bizerte, LR21ES10, Carthage 7000, Tunisia
[3] Univ Sousse, Higher Inst Appl Sci & Technol Sousse, Sousse 4003, Tunisia
来源：
BEITRAGE ZUR ALGEBRA UND GEOMETRIE-CONTRIBUTIONS TO ALGEBRA AND GEOMETRY | 2023年 / 64卷 / 03期
关键词：
Multiplication ideal (module); (almost); Prime nilradical; Idealization; IDEALS;
D O I：
10.1007/s13366-022-00654-y
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we introduce the concept of Nonnil-multiplication ring that is related to the class of multiplication rings. A commutative and unitary ring R is said to be Nonnil-multiplication if every nonnil ideal I of R is a multiplication ideal. We prove some basic properties of Nonnil-multiplication rings and we use idealization construction to establish examples of Nonnil-multiplication rings that are not multiplication rings.
引用
收藏
页码：753 / 760
页数：8
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