On Cotorsion pairs of chain complexes
Gang Yang, Ruijuan Du
TL;DR
This paper introduces a method to construct new cotorsion pairs in the category of chain complexes from existing pairs in module categories, and investigates their completeness properties.
Contribution
It presents a novel construction of cotorsion pairs in chain complexes based on pairs in module categories and analyzes their completeness.
Findings
Constructed a new cotorsion pair in chain complexes from two given module cotorsion pairs
Analyzed conditions under which these cotorsion pairs are complete
Provided theoretical insights into the structure of cotorsion pairs in chain complexes
Abstract
In the paper we first construct a new cotorsion pair, in the category of chain complexes, from two given cotorsion pairs in the category of modules, and then we consider completeness of such pairs under certain conditions.
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Algebraic structures and combinatorial models · Molecular spectroscopy and chirality