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arXiv · 1103.5361

A proof of the strong no loop conjecture

Kiyoshi Igusa·Shiping Liu·Charles Paquette
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Abstract

The strong no loop conjecture states that a simple module of finite projective dimension over an artin algebra has no non-zero self-extension. The main result of this paper establishes this well known conjecture for finite dimensional algebras over an algebraically closed field.

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Kiyoshi Igusa, Shiping Liu, Charles Paquette. 2011-03-28. A proof of the strong no loop conjecture. https://arxiv.org/abs/1103.5361

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