Kumashiro Shinya 神代真也

Researcher Number	40896023
Other IDs
Affiliation (Current)	2026: 大阪工業大学, 工学部, 講師
Affiliation (based on the past Project Information) *help	2024: 大阪工業大学, 工学部, 講師 2021 – 2023: 小山工業高等専門学校, 一般科, 助教
Review Section/Research Field	Principal Investigator Basic Section 11010:Algebra-related
Keywords	Principal Investigator Gorenstein環 / トレースイデアル / Cohen-Macaulay環 / ブルバキ完全列 / 可換環論 / 正準イデアル / ヒルベルト関数

Research Projects
(2 results)
Research Products
(28 results)

トレースイデアルの研究：遍在性と正準加群のトレースPrincipal Investigator
- Principal Investigator
  
  神代真也
- Project Period (FY)
  2024 – 2026
- Research Category
  
  Grant-in-Aid for Early-Career Scientists
- Review Section
  
  Basic Section 11010:Algebra-related
- Research Institution
  Osaka Institute of Technology
Study on Bourbaki sequences and its applicationsPrincipal Investigator
- Principal Investigator
  
  Kumashiro Shinya
- Project Period (FY)
  2021 – 2023
- Research Category
  
  Grant-in-Aid for Early-Career Scientists
- Review Section
  
  Basic Section 11010:Algebra-related
- Research Institution
  Oyama National College of Technology

All 2025 2024 2023 2022 2021

All Journal Article Presentation

[Journal Article] Nearly Gorenstein local rings defined by maximal minors of a $$2 \times n$$ matrix2025
- Author(s)
  Kumashiro Shinya、Matsuoka Naoyuki、Nakashima Taiga
- Journal Title
  
  Semigroup Forum
  
  Volume: Open access Issue: 2 Pages: 317-343
- DOI
  10.1007/s00233-025-10508-3
- Open Access
- Data Source
  KAKENHI-PROJECT-24K16909
[Journal Article] The set of trace ideals of curve singularities2024
- Author(s)
  Kobayashi Toshinori、Kumashiro Shinya
- Journal Title
  
  Israel Journal of Mathematics
  
  Volume: 265 Issue: 1 Pages: 153-184
- DOI
  10.1007/s11856-024-2661-6
- Data Source
  KAKENHI-PROJECT-24K16909
[Journal Article] Reflexive Modules over Arf Local Rings2024
- Author(s)
  Isobe Ryotaro、Kumashiro Shinya
- Journal Title
  
  Taiwanese Journal of Mathematics
  
  Volume: 28 Issue: 5 Pages: 865-875
- DOI
  10.11650/tjm/240605
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-24K16909, KAKENHI-PROJECT-24K16910
[Journal Article] Defining ideals of Cohen?Macaulay fiber cones2024
- Author(s)
  Abdolmaleki Reza、Kumashiro Shinya
- Journal Title
  
  International Journal of Algebra and Computation
  
  Volume: 34 Issue: 07 Pages: 1099-1109
- DOI
  10.1142/s0218196724500437
- Data Source
  KAKENHI-PROJECT-24K16909
[Journal Article] On a Generalized Auslander-Reiten Conjecture2024
- Author(s)
  Dey Souvik、Kumashiro Shinya、Sarkar Parangama
- Journal Title
  
  Algebras and Representation Theory
  
  Volume: 27 Issue: 3 Pages: 1581-1602
- DOI
  10.1007/s10468-024-10271-z
- Data Source
  KAKENHI-PROJECT-24K16909
[Journal Article] Graded filtrations and ideals of reduction number 22023
- Author(s)
  Kumashiro Shinya
- Journal Title
  
  Mathematische Nachrichten
  
  Volume: - Issue: 5 Pages: 1983-1996
- DOI
  10.1002/mana.202100329
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21K13766
[Journal Article] Integrally Closed Ideals of Reduction Number Three2023
- Author(s)
  Kumashiro Shinya
- Journal Title
  
  Algebra Colloquium
  
  Volume: 30 Issue: 02 Pages: 315-324
- DOI
  10.1142/s1005386723000263
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21K13766
[Journal Article] When are Trace Ideals Finite?2023
- Author(s)
  Kumashiro Shinya
- Journal Title
  
  Mediterranean Journal of Mathematics
  
  Volume: 20 Issue: 5 Pages: 278-278
- DOI
  10.1007/s00009-023-02481-4
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21K13766
[Journal Article] The Auslander-Reiten conjecture for certain non-Gorenstein Cohen-Macaulay rings2023
- Author(s)
  Kumashiro Shinya
- Journal Title
  
  Journal of Pure and Applied Algebra
  
  Volume: 227 Issue: 11 Pages: 107420-107420
- DOI
  10.1016/j.jpaa.2023.107420
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21K13766
[Journal Article] On the sectional genera and Cohen-Macaulay rings2023
- Author(s)
  Kumashiro Shinya、Truong Hoang Le、Yen Hoang Ngoc
- Journal Title
  
  Journal of Commutative Algebra
  
  Volume: 15 Issue: 4 Pages: 577-594
- DOI
  10.1216/jca.2023.15.577
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-21K13766
[Journal Article] The tiny trace ideals of the canonical modules in Cohen-Macaulay rings of dimension one2023
- Author(s)
  Herzog Juergen、Kumashiro Shinya、Stamate Dumitru I.
- Journal Title
  
  Journal of Algebra
  
  Volume: 619 Pages: 626-642
- DOI
  10.1016/j.jalgebra.2022.12.026
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-21K13766
[Journal Article] Upper bound on the colength of the trace of the canonical module in dimension one2022
- Author(s)
  Herzog Juergen、Kumashiro Shinya
- Journal Title
  
  Archiv der Mathematik
  
  Volume: 119 Issue: 3 Pages: 237-246
- DOI
  10.1007/s00013-022-01764-8
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-21K13766
[Journal Article] The reduction number of canonical ideals2022
- Author(s)
  Kumashiro Shinya
- Journal Title
  
  Communications in Algebra
  
  Volume: 50 Issue: 11 Pages: 4619-4635
- DOI
  10.1080/00927872.2022.2069790
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21K13766
[Journal Article] The reduction number of canonical ideals2021
- Author(s)
  Shinya Kumashiro
- Journal Title
  
  Communications in Algebra
  
  Volume: -
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21K13766
[Journal Article] Integrally closed ideals of reduction number three2021
- Author(s)
  Shinya Kumashiro
- Journal Title
  
  Algebra Colloquium
  
  Volume: -
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21K13766
[Journal Article] Graded filtrations and ideals of reduction number two2021
- Author(s)
  Shinya Kumashiro
- Journal Title
  
  Mathematische Nachrichten
  
  Volume: -
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21K13766
[Journal Article] The irreducible multiplicity and Ulrich modules2021
- Author(s)
  Tran Nguyen An; Shinya Kumashiro
- Journal Title
  
  Rocky Mountain Journal of Mathematics
  
  Volume: -
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-21K13766
[Presentation] 局所環のHilbert関数解析2025
- Author(s)
  Shinya Kumashiro
- Organizer
  第29回代数学若手研究会
- Invited
- Data Source
  KAKENHI-PROJECT-24K16909
[Presentation] fiber coneのHilbert関数について2024
- Author(s)
  Shinya Kumashiro
- Organizer
  東京可換環論セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-24K16909
[Presentation] When are trace ideals finite?2024
- Author(s)
  Shinya Kumashiro
- Organizer
  日本数学会2024年度秋季総合分科会
- Data Source
  KAKENHI-PROJECT-24K16909
[Presentation] Traces of semi-invariants2024
- Author(s)
  Shinya Kumashiro
- Organizer
  Interactions of Commutative algebra, Representation theory, and Combinatorics in Bangkok
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-24K16909
[Presentation] Study on Z_2 graded rings2023
- Author(s)
  Shinya Kumashiro
- Organizer
  Workshop The 11th Japan-Vietnam Joint seminar on Commutative Algebra, by and for young mathematicians
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-21K13766
[Presentation] Rings having a finite number of trace ideals2023
- Author(s)
  Shinya Kumashiro
- Organizer
  The 28th National School on Algebra
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-21K13766
[Presentation] Graded filtrations and ideals of reduction number two2023
- Author(s)
  Shinya Kumashiro
- Organizer
  Mini workshop on commutative algebra
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-21K13766
[Presentation] Graded Bourbaki ideals of graded modules and Ideals of reduction number two2022
- Author(s)
  Shinya Kumashiro
- Organizer
  Virtual Commutative Algebra Seminars
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-21K13766
[Presentation] Certain monomial ideals whose numbers of generators of powers descend2022
- Author(s)
  Shinya Kumashiro
- Organizer
  第3回情報数理セミナー
- Data Source
  KAKENHI-PROJECT-21K13766
[Presentation] 正準加群のトレースのcolengthの上限2022
- Author(s)
  Shinya Kumashiro
- Organizer
  日本数学会2022年度秋季総合分科会
- Data Source
  KAKENHI-PROJECT-21K13766
[Presentation] 次数付フィルトレーションと節減数2のイデアル2022
- Author(s)
  Shinya Kumashiro
- Organizer
  日本数学会2022年度年会
- Data Source
  KAKENHI-PROJECT-21K13766

Kumashiro Shinya 神代 真也

Research Projects

Research Products

トレースイデアルの研究：遍在性と正準加群のトレースPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Study on Bourbaki sequences and its applicationsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

[Journal Article] Nearly Gorenstein local rings defined by maximal minors of a $$2 \times n$$ matrix2025

Author(s)

Journal Title

DOI

Data Source

[Journal Article] The set of trace ideals of curve singularities2024

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Reflexive Modules over Arf Local Rings2024

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Defining ideals of Cohen?Macaulay fiber cones2024

Author(s)

Journal Title

DOI

Data Source

[Journal Article] On a Generalized Auslander-Reiten Conjecture2024

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Graded filtrations and ideals of reduction number 22023

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Integrally Closed Ideals of Reduction Number Three2023

Author(s)

Journal Title

DOI

Data Source

[Journal Article] When are Trace Ideals Finite?2023

Author(s)

Journal Title

DOI

Data Source

[Journal Article] The Auslander-Reiten conjecture for certain non-Gorenstein Cohen-Macaulay rings2023

Author(s)

Journal Title

DOI

Data Source

[Journal Article] On the sectional genera and Cohen-Macaulay rings2023

Author(s)

Journal Title

DOI

Data Source

[Journal Article] The tiny trace ideals of the canonical modules in Cohen-Macaulay rings of dimension one2023

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Upper bound on the colength of the trace of the canonical module in dimension one2022

Author(s)

Journal Title

DOI

Data Source

[Journal Article] The reduction number of canonical ideals2022

Author(s)

Journal Title

DOI

Data Source

Kumashiro Shinya 神代真也