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math.AC2026
Cotorsion modules relative to a hereditary torsion theory
Lei Qiao
This paper investigates various classes of cotorsion modules relative to the hereditary torsion theory induced by the so-called -operation. To achieve this, we first intro…
math.AC2019
A new version of a theorem of Kaplansky
Fanggui Wang, Lei Qiao
A well-known theorem of Kaplansky states that any projective module is a direct sum of countably generated modules. In this paper, we prove the -version of this theorem, where $…