On  n -Weak Cotorsion Modules

C. Selvaraj; P. Prabakaran

doi:10.1134/S1995080218090305

On n-Weak Cotorsion Modules

Authors: Selvaraj C.¹, Prabakaran P.¹
Affiliations:
1. Department of Mathematics
Issue: Vol 39, No 9 (2018)
Pages: 1428-1436
Section: Part 2. Special issue “Actual Problems of Algebra and Analysis” Editors: A. M. Elizarov and E. K. Lipachev
URL: https://journals.rcsi.science/1995-0802/article/view/203534
DOI: https://doi.org/10.1134/S1995080218090305
ID: 203534

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Abstract
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Abstract

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 \(Ext^1_R(F,N)=0\) 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.

Keywords

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

About the authors

C. Selvaraj

Department of Mathematics

Author for correspondence.
Email: selvavlr@yahoo.com
India, Salem, Tamil Nadu, 636 011

P. Prabakaran