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math.AC2025
Regular sequences for triangulated categories
Antonia Kekkou, Janina C. Letz, Marc Stephan
This paper systematically develops a notion of regular sequences in the context of -linear triangulated categories for a graded-commutative ring . The notion has equivalent c…
math.AC2025
G-levels of perfect complexes
Lars Winther Christensen, Antonia Kekkou, Justin Lyle +2
We prove that a commutative noetherian ring is Gorenstein of dimension at most if is an upper bound on the G-levels of perfect -complexes. For local, we prove…
math.AC2025
A lower bound on levels with applications to Koszul Complexes
Antonia Kekkou
In this paper, we establish a lower bound on the level of a perfect complex with power torsion homology on positive degrees and a power torsion minimal generator for zero homology.…