On n-Weak Cotorsion Modules

被引：2

作者：

Selvaraj, C. ^{[1
]}

Prabakaran, P. ^{[1
]}

机构：

[1] Periyar Univ, Dept Math, Salem 636011, Tamil Nadu, India

来源：

LOBACHEVSKII JOURNAL OF MATHEMATICS | 2018年 / 39卷 / 09期

关键词：

weak injective module; weak flat module; n-weak cotorsion module; super finitely presented dimension;

D O I：

10.1134/S1995080218090305

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let R be a ring and n a fixed non-negative integer. In this paper, n-weak cotorsion modules are introduced and studied. A right R-module N is called n-weak cotorsion module if ExtR1(F,N)=0 for any right R-module F with weak flat dimension at most n. Also some characterizations of rings with finite super finitely presented dimensions are given.

引用

页码：1428 / 1436

页数：9

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