Tilting complexes and codimension functions over commutative noetherian rings

M Hrbek, T Nakamura, J Šťovíček - arXiv preprint arXiv:2207.01309, 2022 - arxiv.org
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" …

[PDF][PDF] APPROXIMATIONS OF MODULES (LECTURE NOTES FOR NMAG531)

JAN TRLIFAJ - 2023 - karlin.mff.cuni.cz
The notion of an extension of a module A by a module B, that is, of a module C that fits in the
short exact sequence 0→ A→ C→ B→ 0, generalizes the notion of a direct sum of A and B …