|
|||||
|
|
A proof of the strong no loop conjecture |
|
| Authors: | Kiyoshi Igusa Shiping Liu Charles Paquette |
| Institution: | aDepartment of Mathematics, Brandeis University, Waltham, MA 02453, United States;bDépartement de Mathématiques, Université de Sherbrooke, Sherbrooke, Québec, Canada, J1K 2R1 |
| 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. |
| Keywords: | Artin algebra Module Projective dimension Hochschild homology Quiver Strong no loop conjecture |
| 本文献已被 ScienceDirect 等数据库收录！ | |