2 papers
math.AC2024
Test properties of some Cohen-Macaulay modules and criteria for local rings via finite vanishing of Ext or Tor
Souvik Dey, Dipankar Ghosh, Aniruddha Saha
In this article, we show test properties, in the sense of finitely many vanishing of Ext or Tor, of CM (Cohen-Macaulay) modules whose multiplicity and number of generators (resp.,…
math.AC2024
Complexity and curvature of (pairs of) Cohen-Macaulay modules, and their applications
Souvik Dey, Dipankar Ghosh, Aniruddha Saha
The complexity and curvature of a module, introduced by Avramov, measure the growth of Betti and Bass numbers of a module, and distinguish the modules of infinite homological dimen…