7 citations · 11 across the 14 of their papers we have counts for
15 papers
On the projective dimension of tensor products of modules
Olgur Celikbas, Souvik Dey, Toshinori Kobayashi
In this paper, we consider finitely generated modules over commutative Noetherian rings whose tensor products have finite projective dimension. We construct examples of modules of…
Finite Birational extension with stable conductor
Souvik Dey
Let be a module finite birational extension of a -dimensional local Cohen--Macaulay ring . When is the conductor of in a stable ideal? If is also generically…
Some characterizations of local rings via reducing dimensions
Olgur Celikbas, Souvik Dey, Toshinori Kobayashi +1
In this paper we study homological dimensions of finitely generated modules over commutative Noetherian local rings, called reducing homological dimensions. We obtain new character…
Trace ideal and annihilator of Ext and Tor of regular fractional ideals, and some applications
Souvik Dey
Given a commutative Noetherian ring with total ring of fractions , and a finitely generated -submodule of , we prove an equality between trace ideal, and cer…
Ulrich split rings
Hailong Dao, Souvik Dey, Monalisa Dutta
A local Cohen--Macaulay ring is called Ulrich-split if any short exact sequence of Ulrich modules split. In this paper we initiate the study of Ulrich split rings. We prove several…
On a generalized Auslander-Reiten conjecture
Souvik Dey, Shinya Kumashiro, Parangama Sarkar
It is well-known that the generalized Auslander-Reiten condition (GARC) and the symmetric Auslander condition (SAC) are equivalent, and (GARC) implies that the Auslander-Reiten con…