aihara takuma 相原琢磨

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AIHARA Takuma 相原琢磨

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Researcher Number	40714150
Affiliation (Current)	2025: 東京学芸大学, 教育学部, 准教授
Affiliation (based on the past Project Information) *help	2025: 東京学芸大学, 教育学部, 准教授 2022 – 2023: 東京学芸大学, 教育学部, 准教授 2015 – 2021: 東京学芸大学, 教育学部, 講師
Review Section/Research Field	Principal Investigator Basic Section 11010:Algebra-related / Algebra
Keywords	Principal Investigator τ傾有限 / τ傾加群 / 導来同値 / 導来圏 / 傾変異 / 傾理論 / 三角圏 / 準傾離散性 / 準傾連結性 / 台τ傾クイバー … More / 台τ傾加群 / 準傾クイバー / 次数付き微分多元環 / 三角同値 / ボンガルツ型条件 / 準傾連結 / dg多元環 / ボンガルツ問題 / 完全導来圏 / 準傾離散 / 準傾変異 / 準傾対象 / 前射影多元環 / ブラウアーグラフ多元環 / 対称多元環 / 三角圏の次元 / ボンガルツ完備化 / 傾離散 / 傾連結 / 傾対象 Less

多元環の準傾変異理論の解明Principal Investigator
- Principal Investigator
  
  相原琢磨
- Project Period (FY)
  2025 – 2029
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 11010:Algebra-related
- Research Institution
  Tokyo Gakugei University
変異による傾理論の一般化と新展開Principal Investigator
- Principal Investigator
  
  相原琢磨
- Project Period (FY)
  2019 – 2024
- Research Category
  
  Grant-in-Aid for Early-Career Scientists
- Review Section
  
  Basic Section 11010:Algebra-related
- Research Institution
  Tokyo Gakugei University
Studies of tilting mutation theory and derived equivalencesPrincipal Investigator
- Principal Investigator
  
  AIHARA Takuma
- Project Period (FY)
  2015 – 2018
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Algebra
- Research Institution
  Tokyo Gakugei University

All 2024 2023 2022 2021 2019 2018 2017 2016

All Journal Article Presentation

[Journal Article] WHEN IS THE SILTING-DISCRETENESS INHERITED?2024
- Author(s)
  AIHARA TAKUMA、HONMA TAKAHIRO
- Journal Title
  
  Nagoya Mathematical Journal
  
  Volume: First View Pages: 1-23
- DOI
  10.1017/nmj.2024.8
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19K14497
[Journal Article] A symmetry of silting quivers2023
- Author(s)
  Aihara Takuma、Wang Qi
- Journal Title
  
  Glasgow Mathematical Journal
  
  Volume: 65 Issue: 3 Pages: 687-696
- DOI
  10.1017/s0017089523000204
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19K14497
[Journal Article] On representation-finite gendo-symmetric algebras with only one non-injective projective module2022
- Author(s)
  Aihara Takuma、Chan Aaron、Honma Takahiro
- Journal Title
  
  Journal of Algebra
  
  Volume: 603 Pages: 61-88
- DOI
  10.1016/j.jalgebra.2022.04.002
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19K14497, KAKENHI-PROJECT-19K23401
[Journal Article] Report on the finiteness of silting objects2021
- Author(s)
  Takuma Aihara, Takahiro Honma, Kengo Miyamoto and Qi Wang
- Journal Title
  
  Proceedings of the Edinburgh Mathematical Society
  
  Volume: - Issue: 2 Pages: 1-17
- DOI
  10.1017/s0013091521000109
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19K14497, KAKENHI-PROJECT-20K14302, KAKENHI-PROJECT-20J10492
[Journal Article] τ-tilting finite triangular matrix algebras2021
- Author(s)
  Takuma Aihara and Takahiro Honma
- Journal Title
  
  Journal of Pure and Applied Algebra
  
  Volume: - Issue: 12 Pages: 106785-106785
- DOI
  10.1016/j.jpaa.2021.106785
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19K14497
[Journal Article] Remarks on dimensions of triangulated categories2019
- Author(s)
  Aihara Takuma, Takahashi Ryo
- Journal Title
  
  Journal of Algebra
  
  Volume: 521 Pages: 235-246
- DOI
  10.1016/j.jalgebra.2018.12.001
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16H03923, KAKENHI-PROJECT-15K17516, KAKENHI-PROJECT-19K03443, KAKENHI-PROJECT-16K05098, KAKENHI-PROJECT-16KK0099
[Journal Article] Algebras sharing the same τ-tilting poset with tree quiver algebras2018
- Author(s)
  Takuma Aihara、Ryoichi Kase
- Journal Title
  
  The Quarterly Journal Of Mathematics
  
  Volume: 印刷中
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-15K17516
[Journal Article] Classification of two-term tilting complexes over Brauer graph algebras2017
- Author(s)
  Adachi Takahide、Aihara Takuma、Chan Aaron
- Journal Title
  
  Mathematische Zeitschrift
  
  Volume: 印刷中 Issue: 1-2 Pages: 1-36
- DOI
  10.1007/s00209-017-2006-9
- Peer Reviewed / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K17516, KAKENHI-PROJECT-25287001, KAKENHI-PROJECT-17F17019, KAKENHI-PROJECT-17J05537
[Journal Article] Classifying tilting complexes over preprojective algebras of Dynkin type2017
- Author(s)
  Aihara Takuma、Mizuno Yuya
- Journal Title
  
  Algebra & Number Theory
  
  Volume: 11 Issue: 6 Pages: 1287-1315
- DOI
  10.2140/ant.2017.11.1287
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-15K17516, KAKENHI-PROJECT-25287001
[Presentation] On trivial tilting theory2023
- Author(s)
  相原琢磨
- Organizer
  第５５回環論および表現論シンポジウム
- Data Source
  KAKENHI-PROJECT-19K14497
[Presentation] On τ-tilting finiteness of group algebras2022
- Author(s)
  相原琢磨
- Organizer
  第５４回環論および表現論シンポジウム
- Data Source
  KAKENHI-PROJECT-19K14497
[Presentation] ジェンド多元環の弱岩永・ゴーレンシュタイン性について2019
- Author(s)
  相原琢磨、チャンアーロン、本間孝拓
- Organizer
  日本数学会秋期総合分科会
- Data Source
  KAKENHI-PROJECT-19K14497
[Presentation] Silting-connected triangulated categories2019
- Author(s)
  Takuma Aihara
- Organizer
  Two weeks of silting
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K14497
[Presentation] On the weakly Iwanaga--Gorenstein property of gendo algebras2019
- Author(s)
  Takuma Aihara, Takahiro Honma and Aaron Chan
- Organizer
  The Eighth China-Japan-Korea International Symposium on Ring Theory
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K14497
[Presentation] 有限表現型ジェンド対称多元環について2019
- Author(s)
  相原琢磨、チャンアーロン、本間孝拓
- Organizer
  日本数学会秋期総合分科会
- Data Source
  KAKENHI-PROJECT-19K14497
[Presentation] On the gendo-symmetric algebra of a trivial extension algebra2019
- Author(s)
  Takuma Aihara, Takahiro Honma and Aaron Chan
- Organizer
  The Eighth China-Japan-Korea International Symposium on Ring Theory
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K14497
[Presentation] Silting-connected triangulated categories2018
- Author(s)
  相原琢磨
- Organizer
  第8回（非）可換代数とトポロジー
- Invited
- Data Source
  KAKENHI-PROJECT-15K17516
[Presentation] Silting mutation theory: foundation and application I, II2017
- Author(s)
  相原琢磨
- Organizer
  第4回ワークショップ「非可換Gorenstein代数とその周辺」
- Invited
- Data Source
  KAKENHI-PROJECT-15K17516
[Presentation] On the existence of silting objects2017
- Author(s)
  相原琢磨
- Organizer
  第62回代数学シンポジウム
- Invited
- Data Source
  KAKENHI-PROJECT-15K17516
[Presentation] Singularity categories and silting objects2017
- Author(s)
  相原琢磨
- Organizer
  第50回環論および表現論シンポジウム
- Data Source
  KAKENHI-PROJECT-15K17516
[Presentation] Algebras sharing the same poset of support τ-tilting modules with tree quiver algebras2016
- Author(s)
  加瀬遼一, 相原琢磨
- Organizer
  第49回環論および表現論シンポジウム
- Place of Presentation
  大阪府立大学（大阪府、堺市）
- Data Source
  KAKENHI-PROJECT-15K17516
[Presentation] Tilting mutation and flips of Brauer graph algebras2016
- Author(s)
  Takuma Aihara
- Organizer
  Workshop on Brauer graph algebras
- Place of Presentation
  Stuttgart University (Germany)
- Year and Date
  2016-03-22
- Invited
- Data Source
  KAKENHI-PROJECT-15K17516

1. TAKAHASHI Ryo

# of Collaborated Projects: 0 results

# of Collaborated Products: 1 results

aihara takuma 相原 琢磨

AIHARA Takuma 相原 琢磨

Research Projects

Research Products

Co-Researchers

多元環の準傾変異理論の解明Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

変異による傾理論の一般化と新展開Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Studies of tilting mutation theory and derived equivalencesPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

[Journal Article] WHEN IS THE SILTING-DISCRETENESS INHERITED?2024

Author(s)

Journal Title

DOI

Data Source

[Journal Article] A symmetry of silting quivers2023

Author(s)

Journal Title

DOI

Data Source

[Journal Article] On representation-finite gendo-symmetric algebras with only one non-injective projective module2022

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Report on the finiteness of silting objects2021

Author(s)

Journal Title

DOI

Data Source

[Journal Article] τ-tilting finite triangular matrix algebras2021

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Remarks on dimensions of triangulated categories2019

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Algebras sharing the same τ-tilting poset with tree quiver algebras2018

Author(s)

Journal Title

Data Source

[Journal Article] Classification of two-term tilting complexes over Brauer graph algebras2017

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Classifying tilting complexes over preprojective algebras of Dynkin type2017

Author(s)

Journal Title

DOI

Data Source

[Presentation] On trivial tilting theory2023

Author(s)

Organizer

Data Source

[Presentation] On τ-tilting finiteness of group algebras2022

Author(s)

Organizer

Data Source

[Presentation] ジェンド多元環の弱岩永・ゴーレンシュタイン性について2019

Author(s)

Organizer

Data Source

[Presentation] Silting-connected triangulated categories2019

aihara takuma 相原琢磨

AIHARA Takuma 相原琢磨