On n-Weak Cotorsion Modules
- Authors: Selvaraj C.1, Prabakaran P.1
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Affiliations:
- 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
Cite item
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