17 citations · 73 across the 19 of their papers we have counts for
20 papers
Ulrich ideals and 2-AGL rings
Shiro Goto, Ryotaro Isobe, Naoki Taniguchi
The notion of 2-almost Gorenstein local ring (2-AGL ring for short) is a generalization of the notion of almost Gorenstein local ring from the point of view of Sally modules of can…
On modules with reducible complexity
Olgur Celikbas, Arash Sadeghi, Naoki Taniguchi
In this paper we generalize a result, concerning a depth equality over local rings, proved independently by Araya and Yoshino, and Iyengar. Our result exploits complexity, a concep…
A Study of quasi-Gorenstein rings II: Deformation of quasi-Gorenstein property
Kazuma Shimomoto, Naoki Taniguchi, Ehsan Tavanfar
In the present article, we investigate the following deformation problem. Let be a local (graded local) Noetherian ring with a (homogeneous) regular element $y \i…
Generalized Gorenstein Arf rings
Ela Celikbas, Olgur Celikbas, Shiro Goto +1
In this paper we study generalized Gorenstein Arf rings; a class of one-dimensional Cohen-Macaulay local Arf rings that is strictly contained in the class of Gorenstein rings. We o…
On Ratliff-Rush closure of modules
Naoki Endo
In this paper, we introduce the notion of Ratliff-Rush closure of modules and explore whether the condition of the Ratliff-Rush closure coincides with the integral closure. The mai…
On the ideal case of a conjecture of Huneke and Wiegand
Olgur Celikbas, Shiro Goto, Ryo Takahashi +1
A conjecture of Huneke and Wiegand claims that, over one-dimensional commutative Noetherian local domains, the tensor product of a finitely generated, non-free, torsion-free module…