When every finitely projective ideal is projective

被引：1

作者：

Mahdou, Najib ^{[1
]}

Moussaoui, Sanae ^{[1
]}

Moutui, Moutu Abdou Salam ^{[2
]}

机构：

[1] Univ SM Ben Abdellah, Lab Modeling & Math Struct, Dept Math, Fac Sci & Technol Fez, Box 2202, Fes, Morocco

[2] Amer Univ Afghanistan, Div Sci Technol & Math, Kabul, Afghanistan

来源：

INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS | 2022年 / 53卷 / 03期

关键词：

FPP-ring; Trivial ring extension; Amalgamated duplication along an ideal; Amalgamated algebra along an ideal; AMALGAMATED DUPLICATION; IDEALIZATION; EXTENSIONS; THEOREMS; RING;

D O I：

10.1007/s13226-021-00148-y

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper studies the class of rings in which every finitely projective ideal is projective (FPP-ring for short). We examine the transfer of this property to various context of commutative ring extensions such as direct product, homomorphic image, trivial ring extension and amalgamation ring. Our work is motivated by an attempt to generate new original classes of rings possessing this property.

引用

页码：579 / 586

页数：8

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