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Acta Mathematica Vietnamica

Openness of the Regular Locus and Generators for Module Categories

Srikanth B. Iyengar , icon-email Ryo Takahashi

Abstract

This work clarifies the relationship between the openness of the regular locus of a commutative Noetherian ring R and the existence of generators for the category of finitely generated R-modules, the corresponding bounded derived category, and for the singularity category of R.