Modules without Self-Extensions over Rad
✍
R. Schulz
📂
Article
📅
1994
🏛
Elsevier Science
🌐
English
⚖ 156 KB
A conjecture of Tachikawa states that every finitely generated non-projective module \(M\) over a self-injective artinian ring \(R\) has a self-extension, i.e., \(\operatorname{Ext}_{R}^{i}(M, M)\) \(\neq 0\) for some \(i \geqslant 1\). We show that Tachikawa's conjecture holds for a class of radica