Olgur Celikbas

activity

20092026

most citedAuslander-Reiten conjecture and Auslander-Reiten duality

43 citations · 243 across the 45 of their papers we have counts for

collaborators

Showing 2013Show all

3 papers · 1 filter

math.AC2013★ 10 cited

Bounds on depth of tensor products of modules

Olgur Celikbas, Arash Sadeghi, Ryo Takahashi

Let $R$ be a local complete intersection ring and let $M$ and $N$ be nonzero finitely generated $R$ -modules. We employ Auslander's transpose in the study of the vanishing of Tor an…

math.AC2013★ 25 cited

Vanishing of Tor, and why we care about it

Olgur Celikbas, Roger Wiegand

Given finitely generated modules $M$ and $N$ over a local ring $R$ , the tensor product $M \otimes_{R} N$ typically has nonzero torsion. Indeed, the assumption that the tensor product i…

math.AC2013★ 2 cited

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…