1 citations · 1 across the 2 of their papers we have counts for
3 papers
math.AC2026
When is the strict closure of rings finitely generated?
Ryotaro Isobe
This paper investigates the finite generation of the strict closure of rings in arbitrary dimension. For a Noetherian local ring , we provide a sufficient condit…
math.AC2026★ 1 cited
Construction and finite generation of the strict closure of rings
Ryotaro Isobe
The construction of Arf rings and strictly closed rings has been studied widely; however, there has been no clear description of the structure of the strict closure R^* when the in…
math.AC2025
Characterization of almost Gorenstein rings in terms of the trace ideal
Ryotaro Isobe, Shinya Kumashiro
We provide a characterization of one-dimensional almost Gorenstein rings in terms of the trace ideal. As an application, we investigate the almost Gorenstein property of certain $\…