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math.AC2026
Quasi-projective dimension for complexes via filtrations
Hiroki Matsui
We extend quasi-projective dimension and quasi-projective length from finitely generated modules to homologically finite complexes by using finite filtrations in the derived catego…
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…
math.AC2023
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…