2024/02/09 by Levins, Andrew J. Soto
#13D07 (Primary) #Commutative Algebra (math.AC) #FOS: Mathematics
paper · doi:10.48550/arxiv.2402.06130
If a module M has finite projective dimension, then the Ext modules of M against any other module eventually vanish and the projective dimension of M gives a uniform bound for this vanishing. For modules of infinite projective dimension there can still exist a bound. Such a bound is called the Auslander bound. In this paper we define a similar bound for complexes and give applications.