Papers

11. Characterization of generalized Gorenstein rings (with S. Goto, S. Kumashiro, and N. Taniguchi)

arXiv: 1704. 08901, 2017. [arXiv ]

Publications:

10. Reflexive modules over Arf Local Rings (with S. Kumashiro)

Taiwanese Journal of Mathematics, 28, no.5 865-875, 2024. [Journal] [arXiv ]

9. Construction and finite generation of the strict closure of rings 

Journal of Pure and Applied Algebra, 228, Issue 9, 107663, 2024. [Journal] 

8. Decomposition of integrally closed ideals in Arf rings

Journal of Commutative Algebra, 15, no.3, 335-344, 2023. [Journal] [arXiv ]

7. On the ubiquity of Arf rings (with E. Celikbas, O. Celikbas, C. Ciupercă, N. Endo, S. Goto, and N. Matsuoka)

Journal of Commutative Algebra, 15, no.2, 177-231, 2023. [Journal] [arXiv ]

6. Topics on strict closure of rings (with N. Endo and S. Goto)

Research in the Mathematical Sciences, Developments in Commutative Algebra: In honor of Jürgen Herzog on the occasion of his 80th Birthday, 8, no. 4, Paper No. 55, 16 pp, 2021.[Journal] [arXiv ]

5. The structure of Ulrich ideals in hypersurfaces

Journal of Pure and Applied Algebra, 225, Issue 6, 106626, 2021. [Journal ] [arXiv ]

4. Almost Gorenstein rings arising from fiber products (with N. Endo and S. Goto)

Canadian Mathematical Bulletin, 64, no.2, 383-400, 2021.  [Journal ] [arXiv ]

3. Ulrich ideals and 2-AGL rings (with S. Goto and N. Taniguchi)

Journal of Algebra, 555, 96-130, 2020. [Journal ] [arXiv ]

2. Correspondence between trace ideals and birational extensions with application to the analysis of the Gorenstein property of rings (with S. Goto and S. Kumashiro)

Journal of Pure and Applied Algebra, 224, Issue 2, 747-767, 2020. [Journal ] [arXiv ]