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Distributive extensions of modules over noncommutative rings

✍ Scribed by A. A. Tuganbaev

Publisher: Springer US
Year: 2007
Tongue: English
Weight: 112 KB
Volume: 143
Category: Article
ISSN: 1573-8795
DOI: 10.1007/s10958-007-0222-2

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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