5 papers
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…
Finiteness of homological dimensions of Ext modules
Kaito Kimura
Let be a commutative Noetherian local ring and let and be nonzero finitely generated -modules. In this paper, we investigate how the finiteness of the homological di…
On the depth of tensor products over Cohen-Macaulay rings
Kaito Kimura, Justin Lyle, Andrew J. Soto-Levins
Inspired by classical work on the depth formula for tensor products of finitely generated -modules, we introduce two conditions which we call and $(\mathbf{rde…