𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Modules without Self-Extensions over Gentle Algebras

✍ Scribed by Jan Schröer


Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
101 KB
Volume
216
Category
Article
ISSN
0021-8693

No coin nor oath required. For personal study only.


📜 SIMILAR VOLUMES


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