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math.AC2024
Upper bounds for dimensions of singularity categories and their annihilators
Souvik Dey, Yuki Mifune
Let be a commutative noetherian ring. Denote by the category of finitely generated -modules and by the bounded derived categor…
math.AC2024
A generalization of the dimension and radius of a subcategory of modules and its applications
Yuki Mifune
Let be a commutative noetherian local ring and denote by the category of finitely generated -modules. In this paper, we give some evaluations of the s…