43 citations · 243 across the 45 of their papers we have counts for
54 papers
Modules of minimal multiplicity over one-dimensional Cohen-Macaulay local rings
Ela Celikbas, Olgur Celikbas, Naoki Endo +1
We study finitely generated modules of minimal multiplicity, a notion introduced by Puthenpurakal that extends the classical concept of minimal multiplicity from rings to modules.…
Full-Trace Modules
Ela Celikbas, Olgur Celikbas, Jürgen Herzog +1
Motivated by the definition of nearly Gorenstein rings, we introduce the notion of full-trace modules over commutative Noetherian local rings--namely, finitely generated modules wh…
On the test properties of the Frobenius endomorphism
Olgur Celikbas, Arash Sadeghi, Yongwei Yao
In this paper, we prove two theorems concerning the test properties of the Frobenius endomorphism over commutative Noetherian local rings of prime characteristic . Our first the…
On the vanishing of self extensions of even-periodic modules
Ela Celikbas, Olgur Celikbas, Hiroki Matsui +1
In this paper we study rigid modules over commutative Noetherian local rings, establish new freeness criteria for certain periodic rigid modules, and extend several results from th…
Depth formula for modules of finite reducing projective dimension
Olgur Celikbas, Toshinori Kobayashi, Brian Laverty +1
We prove that the depth formula holds for two finitely generated Tor-independent modules over Cohen-Macaulay local rings if one of the modules considered has finite reducing projec…
On a generalization of Ulrich modules and its applications
Ela Celikbas, Olgur Celikbas, Justin Lyle +2
We study a modified version of the classical Ulrich modules, which we call -Ulrich. Unlike the traditional setting, -Ulrich modules always exist. We prove that these modules…