A new version of a theorem of Kaplansky

Fanggui Wang; Lei Qiao

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arXiv · 1901.02316

A new version of a theorem of Kaplansky

Fanggui Wang·Lei Qiao

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Abstract

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 $w$-version of this theorem, where $w$ is a hereditary torsion theory for modules over a commutative ring.

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Fanggui Wang, Lei Qiao. 2020-03-02. A new version of a theorem of Kaplansky. https://arxiv.org/abs/1901.02316

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