Relative ( n, k) -Weak Cotorsion Modules

Let [Formula: see text] be a ring and [Formula: see text], [Formula: see text] be two non-negative integers. As an extension of several known notions, we introduce and study [Formula: see text]-weak cotorsion modules using the class of right [Formula: see text]-modules with [Formula: see text]-weak flat dimensions at most [Formula: see text]. Various examples and applications are also given.

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Publication Details

Journal
Algebra Colloquium
Published
2024-08-29
DOI
https://doi.org/10.1142/s1005386724000361
Primary Topic
Nonlinear Waves and Solitons
Type
article
Field-Weighted Citation Impact
0.00
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article

Relative ( n, k) -Weak Cotorsion Modules

Houda Amzil, Driss Bennis, Mostafa Amini
Algebra Colloquium
Nonlinear Waves and Solitons
article

Relative ( n, k) -Weak Cotorsion Modules

Houda Amzil, Driss Bennis, Mostafa Amini
article en

Abstract

Let [Formula: see text] be a ring and [Formula: see text], [Formula: see text] be two non-negative integers. As an extension of several known notions, we introduce and study [Formula: see text]-weak cotorsion modules using the class of right [Formula: see text]-modules with [Formula: see text]-weak flat dimensions at most [Formula: see text]. Various examples and applications are also given.

Algebra ColloquiumVol. 31(03)
Mohammed V University (MA), Chouaib Doukkali University (MA), Payame Noor University (IR)
Openalex Percentile: Top 87%
Nonlinear Waves and Solitons
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