THE CLASSIFICATION OF COMMUTATIVE, NOETHERIAN, FILIAL RINGS WITH IDENTITY

被引：6
|
作者：
Andruszkiewicz, R. R. [1 ]
Pryszczepko, K. [1 ]
机构：
[1] Univ Bialystok, Inst Math, PL-15267 Bialystok, Poland
来源：
COMMUNICATIONS IN ALGEBRA | 2012年 / 40卷 / 05期
关键词：
Filial ring; Ideal; Noetherian ring; ALGEBRAS; IDEAL;
D O I：
10.1080/00927872.2011.554933
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Filial rings are rings in which the relation of being an ideal is transitive. We continue the study of commutative filial rings started in [2, 3]. In particular, we give a complete description of the commutative, filial, noetherian rings with identity.
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页码：1690 / 1703
页数：14
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