60 citations · 392 across the 111 of their papers we have counts for
113 papers
Torsion pairs in subcategories of modules over a commutative ring
Shinnosuke Kosaka, Ryo Takahashi, Gen Tanigawa
Let be a commutative noetherian ring. Denote by the category of finitely generated -modules. Let be a subset of , and let $…
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…
Homological properties and finiteness of reducing invariants
Tokuji Araya, Naoya Hiramatsu, Ryo Takahashi
We study reducing invariants of modules related to certain homological properties. For modules of finite reducing projective dimension, we establish grade inequalities. We prove th…
A characterization of Cohen-Macaulay rings in terms of levels of perfect complexes
Naoya Hiramatsu, Yuki Mifune, Ryo Takahashi
Let be a commutative noetherian ring, and let be a semidualizing -module. In this paper, we study levels of bounded complexes of finitely generated -modules with resp…
On a generalization of Ulrich modules and its applications
Ela Celikbas, Olgur Celikbas, Justin Lyle +2
We study a modified version of the classical Ulrich modules, which we call -Ulrich. Unlike the traditional setting, -Ulrich modules always exist. We prove that these modules…
Ring homomorphisms and local rings with quasi-decomposable maximal ideal
Saeed Nasseh, Keri Ann Sather-Wagstaff, Ryo Takahashi
The notion of local rings with quasi-decomposable maximal ideal was formally introduced by Nasseh and Takahashi. In separate works, the authors of the present paper show that such…