17 citations · 73 across the 19 of their papers we have counts for
4 papers · 1 filter
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…