A proof of the strong no loop conjecture

作者：Igusa Kiyoshi; Liu Shiping^*; Paquette Charles

来源：Advances in Mathematics, 2011, 228(5): 2731-2742.

DOI：10.1016/j.aim.2011.06.042

• Artin algebra
• Module
• Projective dimension
• Hochschild homology
• 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.

• 出版日期2011-12-1