Correspondence between trace ideals and birational extensions with application to the analysis of the Gorenstein property of rings S Goto, R Isobe, S Kumashiro Journal of Pure and Applied Algebra 224 (2), 747-767, 2020 | 27 | 2020 |
Sally modules of canonical ideals in dimension one and 2-AGL rings TDM Chau, S Goto, S Kumashiro, N Matsuoka Journal of Algebra 521, 299-330, 2019 | 24 | 2019 |
The tiny trace ideals of the canonical modules in Cohen-Macaulay rings of dimension one J Herzog, S Kumashiro, DI Stamate Journal of Algebra 619, 626-642, 2023 | 12 | 2023 |
The structure of chains of Ulrich ideals in Cohen-Macaulay local rings of dimension one S Goto, R Isobe, S Kumashiro Acta Mathematica Vietnamica 44, 65-82, 2019 | 11 | 2019 |
The Auslander-Reiten conjecture for certain non-Gorenstein Cohen-Macaulay rings S Kumashiro Journal of Pure and Applied Algebra 227 (11), 107420, 2023 | 9 | 2023 |
Graded Bourbaki ideals of graded modules J Herzog, S Kumashiro, DI Stamate Mathematische Zeitschrift 299 (3), 1303-1330, 2021 | 9 | 2021 |
When is 𝑅⋉ 𝐼 an almost Gorenstein local ring? S Goto, S Kumashiro Proceedings of the American Mathematical Society 146 (4), 1431-1437, 2018 | 9 | 2018 |
Reflexive modules over Arf local rings R Isobe, S Kumashiro arXiv preprint arXiv:2105.07184, 2021 | 8 | 2021 |
Residually faithful modules and the Cohen–Macaulay type of idealizations S Goto, S Kumashiro, NTH Loan Journal of the Mathematical Society of Japan 71 (4), 1269-1291, 2019 | 8 | 2019 |
Characterization of generalized Gorenstein rings S Goto, R Isobe, S Kumashiro, N Taniguchi arXiv preprint arXiv:1704.08901, 2017 | 7 | 2017 |
The reduction number of canonical ideals S Kumashiro Communications in Algebra 50 (11), 4619-4635, 2022 | 6 | 2022 |
On generalized Gorenstein local rings S Goto, S Kumashiro arXiv preprint arXiv:2212.12762, 2022 | 5 | 2022 |
Ideals of reduction number two S Kumashiro Israel Journal of Mathematics 243 (1), 45-61, 2021 | 5 | 2021 |
Nearly Gorenstein local rings defined by maximal minors of a 2× n matrix S Kumashiro, N Matsuoka, T Nakashima arXiv preprint arXiv:2308.04234, 2023 | 4 | 2023 |
Upper bound on the colength of the trace of the canonical module in dimension one J Herzog, S Kumashiro Archiv der Mathematik 119 (3), 237-246, 2022 | 4 | 2022 |
Reducibility index and sum-reducibility index T Nguyen An, TD Dung, S Kumashiro, LT Nhan Journal of Algebra and Its Applications 21 (08), 2250152, 2022 | 3 | 2022 |
Certain monomial ideals whose numbers of generators of powers descend R Abdolmaleki, S Kumashiro Archiv der Mathematik 116, 637-645, 2021 | 3 | 2021 |
When are trace ideals finite? S Kumashiro Mediterranean Journal of Mathematics 20 (5), 278, 2023 | 2 | 2023 |
The set of trace ideals of curve singularities T Kobayashi, S Kumashiro arXiv preprint arXiv:2203.04469, 2022 | 2 | 2022 |
On a generalized Auslander-Reiten conjecture S Dey, S Kumashiro, P Sarkar Algebras and Representation Theory, 1-22, 2024 | 1 | 2024 |