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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.AC2025
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…