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 2012 · math.ACShow all

3 papers · 2 filters

math.AC2012★ 8 cited

Syzygies and tensor product of modules

Olgur Celikbas, Greg Piepmeyer

We give an application of the New Intersection Theorem and prove the following: let $R$ be a local complete intersection ring of codimension $c$ and let $M$ and $N$ be nonzero fini…

math.AC2012★ 5 cited

Brauer-Thrall for totally reflexive modules over local rings of higher dimension

Olgur Celikbas, Mohsen Gheibi, Ryo Takahashi

Let $R$ be a commutative Noetherian local ring. Assume that $R$ has a pair ${x, y}$ of exact zerodivisors such that $dim R / (x, y) \geq 2$ and all totally reflexive $R / (x)$ -modules ar…

math.AC2012★ 15 cited

Modules that detect finite homological dimensions

Olgur Celikbas, Hailong Dao, Ryo Takahashi

We study homological properties of test modules that are, in principle, modules that detect finite homological dimensions. The main outcome of our results is a generalization of a…