The bijection between projective indecomposable and simple modules
Rings and Algebras
2014-10-15 v1 Representation Theory
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 purely expository note, we take a straight-line path from the definitions to this correspondence. The proof is self-contained.
Cite
@article{arxiv.1410.3671,
title = {The bijection between projective indecomposable and simple modules},
author = {Tom Leinster},
journal= {arXiv preprint arXiv:1410.3671},
year = {2014}
}
Comments
10 pages