Commutative rings in which every pure ideal is projective

被引：0
|
作者：
Mahdou N. [1 ]
El Khalfaoui R. [1 ]
机构：
[1] Department of Mathematics, Faculty of Science and Technology of Fez, University S.M. Ben Abdellah Fez, Box 2202, Fez
来源：
ANNALI DELL'UNIVERSITA' DI FERRARA | 2019年 / 65卷 / 2期
关键词：
Amalgamation of rings; PIP-ring; Projective ideal; Pullback; Pure ideal; Trivial extension;
D O I：
10.1007/s11565-019-00324-3
中图分类号：
学科分类号：
摘要：
In this paper, we study the class of rings in which every pure ideal is projective. We investigate the stability of this property under homomorphic image, and its transfer to various contexts of constructions such as pullbacks trivial ring extensions and amalgamation of rings. Our results generate examples which enrich the current literature with new and original families of rings that satisfy this property. © 2019, Università degli Studi di Ferrara.
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页码：301 / 310
页数：9
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