Gorenstein n-X-Injective and n-X-Flat Modules with Respect to a Special Finitely Presented Module

被引：0

作者：

Amini, Mostafa ^{[1
]}

Benkhadra, Arij ^{[2
]}

Bennis, Driss ^{[2
]}

机构：

[1] Payame Noor Univ, Fac Sci, Dept Math, Tehran, Iran

[2] Mohammed V Univ Rabat, Fac Sci, Dept Math, Rabat, Morocco

来源：

ALGEBRA COLLOQUIUM | 2021年 / 28卷 / 04期

关键词：

n-X-coherent ring; Gorenstein n-X-injective module; Gorenstein n-X-flat module; COHERENT RINGS;

D O I：

10.1142/S1005386721000523

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let R be a ring, X a class of R-modules and n >= 1 an integer. We introduce the concepts of Gorenstein n-X-injective and n-X-flat modules via special finitely presented modules. Besides, we obtain some equivalent properties of these modules on n-X-coherent rings. Then we investigate the relations among Gorenstein n-X-injective, n-X-flat, injective and flat modules on X-FC-rings (i.e., self n-X-injective and n-X-coherent rings). Several known results are generalized to this new context.

引用

页码：673 / 688

页数：16