3 citations · 6 across the 5 of their papers we have counts for
8 papers · 1 filter
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…
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 almost Gorenstein property of determinantal rings
Naoki Taniguchi
In this paper we investigate the question of when the determinantal ring over a field is an almost Gorenstein local/graded ring in the sense of Goto, Takahashi, and the aut…
The almost Gorenstein Rees algebras of parameters
Shiro Goto, Naoyuki Matsuoka, Naoki Taniguchi +1
There is given a characterization for the Rees algebras of parameters in a Gorenstein local ring to be almost Gorenstein graded rings. A characterization is also given for the Rees…