33 citations · 48 across the 7 of their papers we have counts for
11 papers · 1 filter
When is a subcategory Serre or torsionfree?
Kei-ichiro Iima, Hiroki Matsui, Kaori Shimada +1
Let R be a commutative noetherian ring. Denote by mod R the category of finitely generated R-modules. In the present paper, we first provide various sufficient (and necessary) cond…
Remarks on a conjecture of Huneke and Wiegand and the vanishing of (co)homology
Olgur Celikbas, Uyen Le, Hiroki Matsui +1
In this paper we study a long-standing conjecture of Huneke and Wiegand which is concerned with the torsion submodule of certain tensor products of modules over one-dimensional loc…
An extension of a depth inequality of Auslander
Olgur Celikbas, Uyen Le, Hiroki Matsui
In this paper, we consider a depth inequality of Auslander which holds for finitely generated Tor-rigid modules over commutative Noetherian local rings. We raise the question of wh…
Serre's condition for tensor products and -Tor-rigidity of modules
Hiroki Matsui
In this paper, we study Serre's condition for tensor products of modules over a commutative noetherian local ring. The paper aims to show the following. Let and be…
Filtrations in module categories, derived categories and prime spectra
Hiroki Matsui, Ryo Takahashi
Let R be a commutative noetherian ring. The notion of n-wide subcategories of Mod R is introduced and studied in Matsui-Nam-Takahashi-Tri-Yen in relation to the cohomological dimen…
Cohomological dimensions of specialization-closed subsets and subcategories of modules
Hiroki Matsui, Tran Tuan Nam, Ryo Takahashi +2
Let R be a commutative noetherian ring. In this paper, we study specialization-closed subsets of Spec R. More precisely, we first characterize the specialization-closed subsets in…