# Openness of the Regular Locus and Generators for Module Categories

@article{Iyengar2018OpennessOT, title={Openness of the Regular Locus and Generators for Module Categories}, author={Srikanth B. Iyengar and Ryō Takahashi}, journal={Acta Mathematica Vietnamica}, year={2018}, volume={44}, pages={207-212} }

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.

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MR575344 DEPARTMENT OF MATHEMATICS, UNIVERSITY OF UTAH, SALT LAKE CITY, UT 84112-0090, USA E-mail address: iyengar@math.utah.edu GRADUATE SCHOOL OF MATHEMATICS

- Commutative algebra,
- 1980