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math.AC2026
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.…
math.AC2025
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…
math.AC2024
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…