6 citations · 17 across the 14 of their papers we have counts for
21 papers
Depth formula for modules of finite reducing projective dimension
Olgur Celikbas, Toshinori Kobayashi, Brian Laverty +1
We prove that the depth formula holds for two finitely generated Tor-independent modules over Cohen-Macaulay local rings if one of the modules considered has finite reducing projec…
Two theorems on the vanishing of Ext
Olgur Celikbas, Souvik Dey, Toshinori Kobayashi +2
We prove two theorems on the vanishing of Ext over commutative Noetherian local rings. Our first theorem shows that there are no Burch ideals which are rigid over non-regular local…
Semidualizing Modules over Numerical Semigroup Rings
Ela Celikbas, Hugh Geller, Toshinori Kobayashi
A semidualizing module is a generalization of Grothendieck's dualizing module. For a local Cohen-Macaulay ring , the ring itself and its canonical module are always realized as…
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…
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…
On the reducing projective dimension of the residue field
Olgur Celikbas, Souvik Dey, Toshinori Kobayashi +1
In this paper we are concerned with certain invariants of modules, called reducing invariants, which have been recently introduced and studied by Araya-Celikbas and Araya-Takahashi…