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A proof of the strong no loop conjecture
Journal article   Open access   Peer reviewed

A proof of the strong no loop conjecture

Kiyoshi Igusa, Shiping Liu and Charles Paquette
Advances in mathematics (New York. 1965), Vol.228(5), pp.2731-2742
2011
DOI: https://doi.org/10.1016/j.aim.2011.06.042

Abstract

Artin algebra Hochschild homology Module Projective dimension Quiver Strong no loop conjecture
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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https://doi.org/10.1016/j.aim.2011.06.042View
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