8 citations · 16 across the 8 of their papers we have counts for
10 papers
Complete Homology over associative rings
Olgur Celikbas, Lars Winther Christensen, Li Liang +1
We compare two generalizations of Tate homology: stable homology and the J-completion of Tor, also known as complete homology. For finitely generated modules, we show that the two…
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…
Torsion in tensor products, and tensor powers, of modules
Olgur Celikbas, Srikanth B. Iyengar, Greg Piepmeyer +1
For finitely generated modules M and N over a complete intersection R, the vanishing of Tor_i^R(M,N) for all i> 0 gives a tight relationship among depth properties of M, N and thei…
Syzygies and tensor product of modules
Olgur Celikbas, Greg Piepmeyer
We give an application of the New Intersection Theorem and prove the following: let be a local complete intersection ring of codimension and let and be nonzero fini…