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A non-projective module without self-extensions

✍ Scribed by Rainer Schulz


Book ID
105112097
Publisher
Springer
Year
1994
Tongue
English
Weight
224 KB
Volume
62
Category
Article
ISSN
0003-889X

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πŸ“œ SIMILAR VOLUMES


Modules without Self-Extensions over Rad
✍ R. Schulz πŸ“‚ Article πŸ“… 1994 πŸ› Elsevier Science 🌐 English βš– 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

Extension of Vertex Operator Algebras by
✍ Haisheng Li πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 306 KB

We prove the existence and the regularity of the extension by a self-dual simple current for certain regular vertex operator algebras.