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On n-Weak Cotorsion Modules

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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.

About the authors

C. Selvaraj

Department of Mathematics

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

P. Prabakaran

Department of Mathematics

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

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