Abstract
In this paper, we introduce and study Kaplansky classes of complexes. We give some results by which one can construct many Kaplansky classes of complexes. We also give some relations between Kaplansky classes of complexes and cotorsion pairs.
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Acknowledgments
This work was partially supported by NSF of China (No. 11071111) and NSF of Gansu Province of China (No. 1107RJZA233). The authors would like to thank the referees for valuable suggestions and comments. Especially, the referees provided a simple proof of Theorem 3.3.
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