3 papers
math.RT2023
When are KE-closed subcategories torsion-free classes?
Toshinori Kobayashi, Shunya Saito
Let be a commutative noetherian ring and denote by the category of finitely generated -modules. In this paper, we study KE-closed subcategories of $\mathsf{…
math.RT2023
Classifying torsionfree classes of the category of coherent sheaves and their Serre subcategories
Shunya Saito
In this paper, we classify several subcategories of the category of coherent sheaves on a noetherian divisorial scheme (e.g. a quasi-projective scheme over a commutative noetherian…
math.CT2022
Grothendieck monoids of extriangulated categories
Haruhisa Enomoto, Shunya Saito
We study the Grothendieck monoid (a monoid version of the Grothendieck group) of an extriangulated category, and give some results which are new even for abelian categories. First,…