43 citations · 243 across the 45 of their papers we have counts for
4 papers · 2 filters
Homological algebra modulo exact zero-divisors
Petter Andreas Bergh, Olgur Celikbas, David A. Jorgensen
We study the homological behavior of modules over local rings modulo exact zero-divisors. We obtain new results which are in some sense "opposite" to those known for modules over l…
Hochster's Theta Pairing and Algebraic Equivalence
Olgur Celikbas And Mark E. Walker
We define a variant of Hochster's theta pairing and prove that it is constant in flat families of modules over hypersurfaces with isolated singularities. As a consequence, we show…
Necessary conditions for the depth formula over Cohen-Macaulay local rings
Hailong Dao, Olgur Celikbas
Let be a Cohen-Macaulay local ring and let and be non-zero finitely generated -modules. We investigate necessary conditions for the depth formula $\depth(M)+\depth(N…
Asymptotic Behavior of Ext functors for modules of finite complete intersection dimension
Olgur Celikbas, Hailong Dao
Let be a local ring, and let and be finitely generated -modules such that has finite complete intersection dimension. In this paper we define and study, under ce…