1 citations · 2 across the 12 of their papers we have counts for
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On some problems concerning the growth of Betti numbers
Kaito Kimura
We investigate several problems concerning the growth of Betti numbers over commutative noetherian rings. First, we establish uniform positive lower and finite upper bounds for the…
On injective dimension of the conormal module
Mohsen Gheibi, Kaito Kimura
Let be a Gorenstein local ring, let be a proper ideal of , and set . We investigate when finite injective dimension of the conormal module forces to b…
Thick subcategories over weakly symmetric algebras with radical cube zero
Kaito Kimura
In this paper, we study thick subcategories of the (stable) module categories of finite-dimensional weakly symmetric algebras with radical cube zero. When the spectral radius of th…
On strongly G-regular rings
Kaito Kimura, Yuki Mifune, Yuya Otake +1
A noetherian ring is called G-regular when all finitely generated Gorenstein projective modules are projective. In this paper, we study rings satisfying the stronger condition that…
Complexes of finite Gorenstein flat and injective dimensions
Kaito Kimura
In this paper, we consider a Gorenstein-dimensional analogue of Foxby's characterization of Gorenstein rings. We prove that a commutative Noetherian local ring is Gorenstein if it…
Trace ideals of canonical modules over Schubert cycles and determinantal rings
Kaito Kimura
In this paper, we study the canonical trace of Schubert cycles and determinantal rings. As an application, we give an explicit description of the non-Gorenstein locus and show that…