Gen Tanigawa

collaborators

3 papers

math.AC2026

Contravariantly finite resolving subcategories over commutative local rings are trivial ones

Yuki Mifune, Gen Tanigawa

We show that a contravariantly finite resolving subcategory over a henselian local ring must be the category of free modules or the whole module category or the subcategory of maxi…

math.AC2026

Torsion pairs in subcategories of modules over a commutative ring

Shinnosuke Kosaka, Ryo Takahashi, Gen Tanigawa

Let $R$ be a commutative noetherian ring. Denote by $mod R$ the category of finitely generated $R$ -modules. Let $Δ$ be a subset of $Spec R$ , and let $…

math.AC2026

Contravariantly infinite resolving subcategories

Gen Tanigawa

Let $R$ be a commutative Noetherian ring. Denote by $mod R$ the category of finitely generated $R$ -modules. In this paper, a contravariantly infinite subcategory of $\textr…