Araya Tokuji 荒谷督司

… Alternative Names

ARAYA Tokuji 荒谷督司

Less

Researcher Number	70613222
Other IDs
Affiliation (Current)	2025: 岡山理科大学, 理学部, 教授
Affiliation (based on the past Project Information) *help	2013 – 2016: 岡山理科大学, 理学部, 准教授 2011 – 2012: 徳山工業高等専門学校, 一般科目, 准教授
Review Section/Research Field	Principal Investigator Algebra Except Principal Investigator Algebra
Keywords	Principal Investigator 次数付環 / weighted projective line / Gorenstein 環 / 安定圏 / 三角圏 / 次数付き環 / ゴーレンシュタイン環 / 極大コーエン・マコーレー加群 / 超曲面 / 極大Cohen-Macaulay加群 … More / Cohen-Macaulay環 / ホモロジカル次元 / AB環 / Gorenstein環 / ホモロジー / 可換環論 … More Except Principal Investigator 変形と退化 / 変形 / 三角圏 / Cohen-Macaulay 加群 / 退化 / 安定圏 / 導来圏 / Cohen-Macaulay加群 / 可換環 / 代数学 Less

Studies of maximal Cohen-Macaulay modules over graded hypersurfacesPrincipal Investigator
- Principal Investigator
  
  Araya Tokuji
- Project Period (FY)
  2014 – 2016
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Okayama University of Science
Study of ABness of commutative noetherian ringsPrincipal Investigator
- Principal Investigator
  
  ARAYA Tokuji
- Project Period (FY)
  2011 – 2012
- Research Category
  
  Grant-in-Aid for Research Activity Start-up
- Research Field
  
  Algebra
- Research Institution
  Tokuyama College of Technology
Study on triangulated categories and its application to Cohen-Macaulay modules
- Principal Investigator
  
  YOSHINO Yuji
- Project Period (FY)
  2009 – 2013
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Algebra
- Research Institution
  Okayama University

All 2017 2016 2015 2014 2013 2012 2011 Other

All Journal Article Presentation

[Journal Article] Remarks on torsionfreeness and its applications2017
- Author(s)
  Tokuji Araya and Kei-ichiro Iima
- Journal Title
  
  Communications in Algebra
  
  Volume: 印刷中 Issue: 1 Pages: 191-200
- DOI
  10.1080/00927872.2017.1324865
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-26400056
[Journal Article] Remarks on Reflexive Subcategories2016
- Author(s)
  Araya, Tokuji and Kageyama, Masaru
- Journal Title
  
  Communications in Algebra
  
  Volume: 44 Issue: 7 Pages: 3038-3052
- DOI
  10.1080/00927872.2015.1065868
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-26400056
[Journal Article] Dimensions of triangulated categories with respect to subcategories2014
- Author(s)
  Aihara, Takuma; Araya, Tokuji; Iyama, Osamu; Takahashi, Ryo; Yoshiwaki,
- Journal Title
  
  Journal of Algebra
  
  Volume: 399
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21340008
[Journal Article] Dimensions of triangulated categories with respect to subcategories2014
- Author(s)
  T. Aihara, T. Araya, O. Iyama, R. Takahashi, M. Yoshiwaki
- Journal Title
  
  J. Algebra
  
  Volume: 399 Pages: 205-219
- DOI
  10.1016/j.jalgebra.2013.09.035
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22224001, KAKENHI-PROJECT-23540045, KAKENHI-PROJECT-24340004, KAKENHI-PROJECT-25287001, KAKENHI-PROJECT-25400038, KAKENHI-PROJECT-26400056
[Journal Article] Dimensions of triangularted categories with respect to subcateogries2013
- Author(s)
  Tokuji Araya
- Journal Title
  
  第34 回可換環論シンポジウム報告集
  
  Pages: 146-149
- Data Source
  KAKENHI-PROJECT-23840043
[Journal Article] Exceptional Sequences over Path Algebras of Type An and Non-Crossing Spanning Trees.2013
- Author(s)
  Tokuji Araya
- Journal Title
  
  Algebr. Represent. Theory
  
  Volume: 16, no. 1 Pages: 239-250
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23840043
[Journal Article] Exceptional Sequences over Path Algebras of Type An and Non-crossing Spanning Trees2013
- Author(s)
  Tokuji Araya
- Journal Title
  
  Algebr. Represent. Theory
  
  Volume: 16 Issue: 1 Pages: 239-250
- DOI
  10.1007/s10468-011-9304-4
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23840043
[Journal Article] Dimensions of triangularted categories with respect to subcateogries2012
- Author(s)
  Tokuji Araya
- Journal Title
  
  Proceedings of the 45th Symposium on Ring Theory and Representation Theory
  
  Pages: 12-15
- Data Source
  KAKENHI-PROJECT-23840043
[Journal Article] On the structure of Cohen-Macaulay modules over hypersurfaces2012
- Author(s)
  Tokuji Araya; Kei-ichiro Iima; Ryo Takahashi
- Journal Title
  
  J. Algebra
  
  Volume: 361 Pages: 213-224
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23840043
[Journal Article] (Sn)条件によるC-syzygyのある特徴づけ2012
- Author(s)
  Tokuji Araya;Kei-ichiro lima
- Journal Title
  
  第24回可換環論セミナー報告集
  
  Pages: 122-125
- Data Source
  KAKENHI-PROJECT-23840043
[Journal Article] Dimensions of triangularted categories with respect to subcateogries2012
- Author(s)
  Tokuji Araya
- Journal Title
  
  第34回可換環論シンポジウム報告集
  
  Pages: 146-149
- Data Source
  KAKENHI-PROJECT-23840043
[Journal Article] On the left perpendicular category of the modules of finite projective dimension2012
- Author(s)
  T. Araya; K.-i. Iima; R. Takahashi
- Journal Title
  
  Comm. Algebra
  
  Volume: 40.no. 8 Issue: 8 Pages: 2693-2699
- DOI
  10.1080/00927872.2011.584926
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22740008, KAKENHI-PROJECT-23840043
[Journal Article] Auslander-Bridger 型近似定理について2012
- Author(s)
  荒谷　督司，飯間　圭一郎
- Journal Title
  
  第24 回可換環論セミナー報告
  
  Pages: 135-137
- Data Source
  KAKENHI-PROJECT-23840043
[Journal Article] On the left perpendicular category of the modules of finite projective dimension2012
- Author(s)
  Tokuji Araya; Kei-ichiro Iima; Ryo Takahashi
- Journal Title
  
  Comm. Algebra
  
  Volume: 40, no. 8 Pages: 2693-2699
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23840043
[Journal Article] (Sn) 条件によるC-syzygy のある特徴づけ2012
- Author(s)
  荒谷　督司，飯間　圭一郎
- Journal Title
  
  第24 回可換環論セミナー報告集
  
  Pages: 122-125
- Data Source
  KAKENHI-PROJECT-23840043
[Journal Article] Auslander-Bridger型近似定理について2012
- Author(s)
  Tokuji Araya; Kei-ichiro Iima
- Journal Title
  
  第24回可換環論セミナー報告集
  
  Pages: 135-137
- Data Source
  KAKENHI-PROJECT-23840043
[Journal Article] Auslander-Reiten conjecture for modules of finite AB-dimension2012
- Author(s)
  Tokuji Araya
- Journal Title
  
  Proceedings of the 7th Japan-Vietnam joint seminar on commutative algebra
  
  Pages: 202-204
- Data Source
  KAKENHI-PROJECT-23840043
[Journal Article] Auslander-Reiten conjecture for modules of finite AB-dimension2012
- Author(s)
  Tokuji Araya
- Journal Title
  
  Proceedings of the 7th Japan-Vietnam joint seminar on commutative
  
  Pages: 202-204
- Data Source
  KAKENHI-PROJECT-23840043
[Journal Article] Exceptional sequences over path algebras of type An and non-crossing spanning trees2011
- Author(s)
  Tokuji Araya
- Journal Title
  
  Algebr.Represent.Theory
  
  Volume: (掲載決定)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23840043
[Journal Article] On the left perpendicular category of the modules of finite projective dimension2011
- Author(s)
  Tokuji Araya, 他2名
- Journal Title
  
  Comm.Algebra
  
  Volume: (掲載決定)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23840043
[Journal Article] On the structure of Cohen-Macaulay modules over hypersurfaces2011
- Author(s)
  Tokuji Araya, 他2名
- Journal Title
  
  J.Algebra
  
  Volume: (掲載決定)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23840043
[Presentation] Thick subcategories over graded simple singularities of type A2016
- Author(s)
  Tokuji Araya
- Organizer
  Workshop on Weighted Projective Spaces and Representation Theory
- Place of Presentation
  University of Science and Technology of China
- Year and Date
  2016-03-05
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26400056
[Presentation] Thick subcategories over graded simple singularities of type D2016
- Author(s)
  荒谷　督司
- Organizer
  Ring Theory and Representation Theory Seminar
- Place of Presentation
  名古屋大学
- Year and Date
  2016-01-18
- Invited
- Data Source
  KAKENHI-PROJECT-26400056
[Presentation] Thick subcategories over graded simple hypersurface singularities2016
- Author(s)
  Tokuji Araya
- Organizer
  Workshop and International Conference on Representations of Algebras (ICRA 2016)
- Place of Presentation
  Syracuse University
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26400056
[Presentation] An introduction to reducible homological dimension2016
- Author(s)
  Tokuji Araya
- Organizer
  第38回可換環論シンポジウム
- Place of Presentation
  生産性国際交流センター
- Data Source
  KAKENHI-PROJECT-26400056
[Presentation] Locally-Gorensteinness of Cohen-Macaulay rings2015
- Author(s)
  Tokuji Araya
- Organizer
  第27回可換環論セミナー
- Place of Presentation
  静岡大学
- Year and Date
  2015-01-28
- Data Source
  KAKENHI-PROJECT-26400056
[Presentation] Remarks on some homological conjectures2015
- Author(s)
  Tokuji Araya
- Organizer
  第37回可換環論シンポジウム
- Place of Presentation
  倉敷シーサイドホテル
- Year and Date
  2015-11-18
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26400056
[Presentation] On the locally Gorensteinness and Serre's (Sn)-condition of modules2015
- Author(s)
  飯間圭一郎，荒谷督司
- Organizer
  2015年度日本数学会年会
- Place of Presentation
  明治大学駿河台キャンパス
- Year and Date
  2015-03-21
- Data Source
  KAKENHI-PROJECT-26400056
[Presentation] Gorensteinenss on the punctured spectrum2014
- Author(s)
  Tokuji Araya
- Organizer
  The 16th International Conference on Representations of Algebras and Workshop
- Place of Presentation
  singhua Sanya International Mathematics Forum
- Year and Date
  2014-08-26
- Data Source
  KAKENHI-PROJECT-26400056
[Presentation] Gorensteinness on the punctured spectrum2014
- Author(s)
  Tokuji Araya
- Organizer
  第45回環論および表現論シンポジウム
- Place of Presentation
  大阪市立大学
- Year and Date
  2014-09-14
- Data Source
  KAKENHI-PROJECT-26400056
[Presentation] Locally-Gorensteinness of Cohen-Macaulay rings2014
- Author(s)
  Tokuji Araya
- Organizer
  第36回可換環論シンポジウム
- Place of Presentation
  生産性国際交流センター
- Year and Date
  2014-11-24
- Data Source
  KAKENHI-PROJECT-26400056
[Presentation] Graded Cohen-Macaulaymodules over Graded Cohen-Macaulay2013
- Author(s)
  荒谷督司
- Organizer
  第3回徳山環論セミナー
- Place of Presentation
  徳山工業高等専門学校
- Year and Date
  2013-01-13
- Data Source
  KAKENHI-PROJECT-23840043
[Presentation] Auslander-Reiten予想について2013
- Author(s)
  荒谷督司
- Organizer
  第12回大和郡山セミナー
- Place of Presentation
  奈良工業高等専門学校
- Year and Date
  2013-02-03
- Data Source
  KAKENHI-PROJECT-23840043
[Presentation] 行列分解と超曲面上のコーエン・マコーレー加群について2013
- Author(s)
  荒谷督司
- Organizer
  代数学シンポジウム
- Place of Presentation
  広島大学
- Data Source
  KAKENHI-PROJECT-21340008
[Presentation] Thick subcategories of stable categories over graded Gorenstein rings2013
- Author(s)
  荒谷督司
- Organizer
  第35回可換環論シンポジウム
- Place of Presentation
  京都大学数理解析研究所
- Data Source
  KAKENHI-PROJECT-21340008
[Presentation] Dimensions of triangulatedcategories with respect tosubcategories 22012
- Author(s)
  荒谷督司
- Organizer
  2013年度日本数学会年会
- Place of Presentation
  京都大学
- Year and Date
  2012-03-21
- Data Source
  KAKENHI-PROJECT-23840043
[Presentation] AB dimension2012
- Author(s)
  Tokuji Araya
- Organizer
  Algebra seminar
- Place of Presentation
  University of Missouri(招待講演)
- Year and Date
  2012-03-15
- Data Source
  KAKENHI-PROJECT-23840043
[Presentation] Thick subcategories over graded simple singularities2012
- Author(s)
  Tokuji Araya
- Organizer
  Commutative Algebra Seminar
- Place of Presentation
  University of Nebraska-Lincoln(招待講演)
- Year and Date
  2012-02-13
- Data Source
  KAKENHI-PROJECT-23840043
[Presentation] Dimensions of triangulatedcategories with respect tosubcategories2012
- Author(s)
  荒谷督司
- Organizer
  Studio Phones Seminarat Kobe university
- Place of Presentation
  神戸大学
- Year and Date
  2012-07-16
- Data Source
  KAKENHI-PROJECT-23840043
[Presentation] Dimensions oftriangularted categories with respectto subcateogries2012
- Author(s)
  Tokuji Araya
- Organizer
  第34回可換環論シンポジウム
- Place of Presentation
  生産性国際交流センター
- Year and Date
  2012-11-25
- Data Source
  KAKENHI-PROJECT-23840043
[Presentation] Dimensions of triangulatedcategories with respect tosubcategories2012
- Author(s)
  荒谷督司
- Organizer
  2012年度日本数学会秋期総合分科会
- Place of Presentation
  九州大学
- Year and Date
  2012-09-20
- Data Source
  KAKENHI-PROJECT-23840043
[Presentation] Dimensions of triangulated categories with respect to subcategories2012
- Author(s)
  Tokuji Araya
- Organizer
  XV International Conference on Representation of Algebras
- Place of Presentation
  Bielefeld University
- Year and Date
  2012-08-14
- Data Source
  KAKENHI-PROJECT-23840043
[Presentation] Auslander-Bridger型近似定理について2012
- Author(s)
  荒谷督司
- Organizer
  第24回可換環論セミナー
- Place of Presentation
  霧島市市民サービスセンター
- Year and Date
  2012-02-02
- Data Source
  KAKENHI-PROJECT-23840043
[Presentation] Thick subcategories over graded simple singularities2012
- Author(s)
  Tokuji Araya
- Organizer
  Commutative Algebra Seminar
- Place of Presentation
  University of Nebraska-Lincoln(アメリカ)
- Year and Date
  2012-02-13
- Data Source
  KAKENHI-PROJECT-23840043
[Presentation] AB dimension2012
- Author(s)
  Tokuji Araya
- Organizer
  Algebra seminar
- Place of Presentation
  University of Missouri(アメリカ)
- Year and Date
  2012-03-15
- Data Source
  KAKENHI-PROJECT-23840043
[Presentation] Auslander-Reiten Conjecture for modules of finite Abdimension2011
- Author(s)
  Tokuji Araya
- Organizer
  The 7th Japan-Vietnam joint seminar on commutative algebra
- Place of Presentation
  Qui Nhon University
- Year and Date
  2011-12-15
- Data Source
  KAKENHI-PROJECT-23840043
[Presentation] Auslander-Reiten Conjecture for modules of finite Abdimension2011
- Author(s)
  Tokuji Araya
- Organizer
  The 7th Japan-Vietnam joint seminar on commutative algebra
- Place of Presentation
  Qui Nhon University(ベトナム)
- Year and Date
  2011-12-15
- Data Source
  KAKENHI-PROJECT-23840043
[Presentation] Dimensions of triangulated categories with respect to subcategories
- Author(s)
  荒谷　督司
- Organizer
  Studio Phones Seminar at Kobe university
- Place of Presentation
  神戸大学
- Invited
- Data Source
  KAKENHI-PROJECT-23840043
[Presentation] Auslander-Reiten 予想について
- Author(s)
  荒谷　督司
- Organizer
  第12回大和郡山セミナー
- Place of Presentation
  奈良工業高等専門学校
- Data Source
  KAKENHI-PROJECT-23840043
[Presentation] Dimensions of triangularted categories with respect to subcateogries
- Author(s)
  Tokuji Araya
- Organizer
  第34回可換環論シンポジウム
- Place of Presentation
  生産性国際交流センター
- Data Source
  KAKENHI-PROJECT-23840043
[Presentation] Dimensions of triangulated categories with respect to subcategories
- Author(s)
  Tokuji Araya
- Organizer
  第45回環論および表現論シンポジウム
- Place of Presentation
  信州大学
- Data Source
  KAKENHI-PROJECT-23840043
[Presentation] Dimensions of triangulated categories with respect to subcategories
- Author(s)
  荒谷　督司
- Organizer
  2012年度日本数学会秋期総合分科会
- Place of Presentation
  九州大学
- Data Source
  KAKENHI-PROJECT-23840043
[Presentation] Dimensions of triangulated categories with respect to subcategories 2
- Author(s)
  荒谷　督司
- Organizer
  2013年度日本数学会年会
- Place of Presentation
  京都大学
- Data Source
  KAKENHI-PROJECT-23840043
[Presentation] Graded Cohen-Macaulay modules over Graded Cohen-Macaulay
- Author(s)
  荒谷　督司
- Organizer
  第3回徳山環論セミナー
- Place of Presentation
  徳山工業高等専門学校
- Data Source
  KAKENHI-PROJECT-23840043
[Presentation] Dimensions of triangulated categories with respect to subcategories
- Author(s)
  Tokuji Araya
- Organizer
  XV International Conference on Representation of Algebras
- Place of Presentation
  Bielefeld University (ドイツ)
- Data Source
  KAKENHI-PROJECT-23840043

1. YOSHINO Yuji (00135302)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
2. IYAMA Osamu (70347532)

# of Collaborated Projects: 1 results

# of Collaborated Products: 2 results
3. TAKAHASHI Ryo (40447719)

# of Collaborated Projects: 1 results

# of Collaborated Products: 2 results
4. YAMAGATA Kunio (60015849)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
5. 馬昭平

# of Collaborated Projects: 0 results

# of Collaborated Products: 1 results

Araya Tokuji 荒谷 督司

ARAYA Tokuji 荒谷 督司

Research Projects

Research Products

Co-Researchers

Studies of maximal Cohen-Macaulay modules over graded hypersurfacesPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Study of ABness of commutative noetherian ringsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Study on triangulated categories and its application to Cohen-Macaulay modules

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

[Journal Article] Remarks on torsionfreeness and its applications2017

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Remarks on Reflexive Subcategories2016

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Dimensions of triangulated categories with respect to subcategories2014

Author(s)

Journal Title

Data Source

[Journal Article] Dimensions of triangulated categories with respect to subcategories2014

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Dimensions of triangularted categories with respect to subcateogries2013

Author(s)

Journal Title

Data Source

[Journal Article] Exceptional Sequences over Path Algebras of Type An and Non-Crossing Spanning Trees.2013

Author(s)

Journal Title

Data Source

[Journal Article] Exceptional Sequences over Path Algebras of Type An and Non-crossing Spanning Trees2013

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Dimensions of triangularted categories with respect to subcateogries2012

Author(s)

Journal Title

Data Source

[Journal Article] On the structure of Cohen-Macaulay modules over hypersurfaces2012

Author(s)

Journal Title

Data Source

[Journal Article] (Sn)条件によるC-syzygyのある特徴づけ2012

Author(s)

Journal Title

Data Source

[Journal Article] Dimensions of triangularted categories with respect to subcateogries2012

Author(s)

Journal Title

Data Source

[Journal Article] On the left perpendicular category of the modules of finite projective dimension2012

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Auslander-Bridger 型近似定理について2012

Author(s)

Journal Title

Data Source

Araya Tokuji 荒谷督司

ARAYA Tokuji 荒谷督司