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I have already knowed that selfinjective algebras have only trivial tilting modules,but besides this,is there any more?

flag	asked Oct 26 at 3:53 qinyongyun 11●1

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Do you allow $\rm{pd}(T)<\infty$ or only $\rm{pd}(T) \leq 1$? – Dag Oskar Madsen Oct 26 at 6:37

Dag Oskar Madsen · Answer 1 · 2012-10-26 07:37:27Z UTC

Local finite dimensional algebras have only trivial tilting modules since in that case all finitely generated modules have either zero or infinite projective dimension.

In particular it follows that commutative finite dimensional algebras have only trivial tilting modules.

Which class of finite dimension algebra has only trivial tilting modules?

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Which class of finite dimension algebra has only trivial tilting modules?

Remember to vote up questions/answers you find interesting or helpful (requires 15 reputation points)

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