REVIEW 1 cited by
Symmetry of Derived Delooping Level
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
read the original abstract
The finitistic dimension conjecture is closely connected to the symmetry of the finitistic dimension. Recent work indicates that such connection extends to one of its upper bounds, the delooping level. In this paper, we show that the same holds for the derived delooping level, which is an improvement of the delooping level. This reduces the finitistic dimension conjecture to considering algebras whose opposite algebra has (derived) delooping level zero. We thereby demonstrate ways to utilize the new concept of derived delooping level to obtain new results and present additional work involving tensor product of algebras.
Forward citations
Cited by 1 Pith paper
-
Homological Invariants of Left and Right Serial Path Algebras
In right serial path algebras the left delooping level equals the right finitistic dimension; left serial algebras need an extra condition, with a counterexample where the derived delooping level does better.
Discussion (0). Sign in to comment.