14 papers
Some Remarks About Saturation of Ideals
Souvik Dey, Stephen Landsittel
In this paper we observe when saturation of ideals in a local ring R commutes with extension along ring maps and initial ideals. We give a characterization in terms of Cohen Macaul…
Complexity and curvature of pairs of Burch modules and ideals
Souvik Dey, Dipankar Ghosh, Mouma Samanta
The complexity and curvature of a module were first introduced by Avramov to distinguish modules of infinite homological dimension. Later, Avramov-Buchweitz extended the notion of…
Finite homological dimension of Hom, vanishing of Ext, and applications to divisor class group
Souvik Dey, Dipankar Ghosh
For finitely generated modules and over a commutative Noetherian local ring , we give various sufficient criteria for detecting freeness of or via vanishing of…
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.,…
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…
Quasi-homological dimensions with respect to semidualizing modules
Souvik Dey, Luigi Ferraro, Mohsen Gheibi
Gheibi, Jorgensen and Takahashi recently introduced the quasi-projective dimension of a module over commutative Noetherian rings, a homological invariant extending the classic proj…