Abstract
For an interval finite quiver Q, we introduce a class of flat representations.
We classify the indecomposable projective objects in the category
Acknowledgements
The author is very grateful to Professor Xiao-Wu Chen for his encouragement and many helpful suggestions. The author also thanks Professor Yu Ye and Professor Shiping Liu for some suggestions, and thanks Doctor Zhe Han, Doctor Bo Hou and Doctor Dawei Shen for some discussions. He would like to thank the referee for many helpful suggestions and comments.
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