The bijection between projective indecomposable and simple modules

Thomas Leinster

The bijection between projective indecomposable and simple modules

School of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract / Description of output

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 purely expository note, we take a straight-line path from the definitions to this correspondence. The proof is self-contained.

Original language	English
Pages (from-to)	725-735
Journal	Bulletin of the Belgian Mathematical Society - Simon Stevin
Volume	22
Issue number	5
Publication status	Published - Dec 2015

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The bijection between projective indecomposable and simple modules

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