A new version of a theorem of Kaplansky
Commutative Algebra
2020-03-03 v2
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 -version of this theorem, where is a hereditary torsion theory for modules over a commutative ring.
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Cite
@article{arxiv.1901.02316,
title = {A new version of a theorem of Kaplansky},
author = {Fanggui Wang and Lei Qiao},
journal= {arXiv preprint arXiv:1901.02316},
year = {2020}
}
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16 pages