Let $A$ be an algebra of finite global dimension and $Af$ the direct sum of all indecomposable projective-injective left $A$-modules. Using right modules, left $g$ denote the injective dimension of $A/AfA$.

Is it true that $g=\sup \{ injdim(S)-domdim(S) | S \ $simple $\}$?

I tested it for various algebras having dominant dimension at least one and found no counterexample.


Your Answer

By clicking "Post Your Answer", you acknowledge that you have read our updated terms of service, privacy policy and cookie policy, and that your continued use of the website is subject to these policies.

Browse other questions tagged or ask your own question.