Timeline for A formula for the projective dimension of finite dimensional algebras
Current License: CC BY-SA 4.0
4 events
| when toggle format | what | by | license | comment | |
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| Jan 20 at 6:54 | comment | added | Jeremy Rickard | @Mare Yes, it has dominant dimension zero. | |
| Jan 20 at 3:00 | comment | added | Mare | Your algebra has dominant dimension zero, or? For positive dominant dimension the formula should be correct I think. Maybe the definition of the stable module should be modified for dominant dimension zero. Maybe one should define instead $\underline{A} :=A/AeA$, where $eA$ is such that $add(eA)$ is a projective cover of $D(A)$. I will do some tests. | |
| Jan 18 at 13:30 | comment | added | Mare | Thank you. I tested the question only for finite projective dimension modules (as the computer can only calculate finitely many things). But I am still a bit surprised that it is not true in general. | |
| Jan 18 at 9:18 | history | answered | Jeremy Rickard | CC BY-SA 4.0 |