Abstract
For modules over a finite-dimensional algebra, there is a canonical one-to-one correspondence between the projective indecomposable modules and the simple modules. In this self-contained, purely expository note, we take a straight-line path from the basic definitions to a proof of this correspondence.
Citation
Tom Leinster. "The bijection between projective indecomposable and simple modules." Bull. Belg. Math. Soc. Simon Stevin 22 (5) 725 - 735, december 2015. https://doi.org/10.36045/bbms/1450389244
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