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math.AC2022
Indecomposable pure-injective objects in stable categories of Gorenstein-projective modules over Gorenstein orders
Tsutomu Nakamura
We give a result of Auslander-Ringel-Tachikawa type for Gorenstein-projective modules over a complete Gorenstein order. In particular, we prove that a complete Gorenstein order is…
math.AC2022★ 3 cited
Tilting complexes and codimension functions over commutative noetherian rings
Michal Hrbek, Tsutomu Nakamura, Jan Šťovíček
In the derived category of a commutative noetherian ring, we explicitly construct a silting object associated with each sp-filtration of the Zariski spectrum satisfying the "slice"…