43 citations · 243 across the 45 of their papers we have counts for
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Criteria for vanishing of Tor over Complete Intersections
Olgur Celikbas, Srikanth B. Iyengar, Greg Piepmeyer +1
In this paper we exploit properties of Dao's eta-pairing as well as techniques of Huneke, Jorgensen, and Wiegand to study the vanishing of Tor_i(M,N) of finitely generated modules…
Torsion in tensor powers of modules
Olgur Celikbas, Srikanth B. Iyengar, Greg Piepmeyer +1
Tensor products usually have nonzero torsion. This is a central theme of Auslander's paper "Modules over unramified regular local rings"; the theme continues in the work of Huneke…
Stable homology over associative rings
Olgur Celikbas, Lars Winther Christensen, Li Liang +1
We analyze stable homology over associative rings and obtain results over Artin algebras and commutative noetherian rings. Our study develops similarly for these classes; for simpl…
Homological dimensions of rigid modules
Olgur Celikbas, Mohsen Gheibi, Majid Rahro Zargar +1
We obtain various characterizations of commutative Noetherian local rings $(R, \fm)$ in terms of homological dimensions of certain finitely generated modules. For example, we estab…