6 citations · 33 across the 20 of their papers we have counts for
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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…