Hayasaka Futoshi 早坂太

… Alternative Names

早坂太ハヤサカフトシ

HAYASAKA Futoshi 早坂太

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Researcher Number	20409460
Other IDs
Affiliation (Current)	2023: 岡山大学, 環境生命自然科学学域, 教授
Affiliation (based on the past Project Information) *help	2023: 岡山大学, 環境生命自然科学学域, 教授 2021: 岡山大学, 環境生命科学学域, 准教授 2018 – 2021: 岡山大学, 環境生命科学研究科, 准教授 2013 – 2014: 北海道教育大学, 教育学部, 准教授 2012: 鹿児島工業高等専門学校, その他部局等, 准教授 … More 2010 – 2011: 鹿児島工業高等専門学校, 一般教育科理系, 講師 2006 – 2009: 明治大学, 理工学部, 講師 2008: 明治大学, 理工学部, 兼任講師 2005: Meiji University, Dept.of Math., Assistant, 理工学部, 助手 Less
Review Section/Research Field	Principal Investigator Basic Section 11010:Algebra-related / Algebra Except Principal Investigator Algebra / Basic Section 11020:Geometry-related
Keywords	Principal Investigator ブックスバウム・リム重複度 / 重複度 / 局所環 / 整閉イデアル / 正則局所環 / 多重次数付き環 / ブックスバウム・リム関数 / 巴系加群 / 直既約整閉加群 / 整閉包 … More / 行列式イデアル / 直既約加群 / 整閉加群 / 巡回加群 / コーエン・マコーレー局所環 / 加群 / Koszul複体 / 環拡大 … More Except Principal Investigator 因子類群 / Cox環 / 数値的同値 / 局所環 / チャウ群 / ヒルベルト・クンツ関数 / デターミナント射 / 擬逆極限系 / 同変枠付き写像 / 同変多様体 / 変換群 / 横断正則 / ポントリャーギン構成 / 不動点集合 / 同変手術 / 擬逆極限 / Smith 問題 / k-pseudofree action / one-fixed-point 作用 / 同変手術理論 / 変換群論 / 5次の対称群 / 5次の交代群 / one fixed point action / 部分群のなす Hasse diagram / 同変手術類群 / 鏡映手術理論 / 同変コボルディズムの擬逆極限系 / Riemann-Roch / Hilbert-Kunz function / Cox ring / total coordinate ring / standard conjectures / numerical equivalence / Grothendieck group / Chow group / クルル環 / 素元分解環 / リース環 / 全座標環 / グロタンデイェク群 / グロタンディエク群 / 特異リーマン・ロッホ / リーマン・ロッホ / 全座標間 / スタンダード予想 / グロタンディェク郡 / チャウ郡 / ピカール群 / Seshadri constant / regularity / 永田予想 / 有限生成性 / 標準加群 / 極大CM加群 / 極大 CM 加群 / テータ不変量 / Cox 環 / 巡回商特異点 / 標準因子 / フロベニウス / トッド類 / 完備匙 / 交点数 / Serre予想 / 代数的 K-理論 / 代数学 / 代数サイクル / グロタンディェク群 Less

局所環論への応用に向けた整閉加群の探究Principal Investigator
- Principal Investigator
  
  早坂太
- Project Period (FY)
  2023 – 2025
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 11010:Algebra-related
- Research Institution
  Okayama University
整閉包の理論の新展開と局所環論への応用Principal Investigator
- Principal Investigator
  
  早坂太
- Project Period (FY)
  2020 – 2022
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 11010:Algebra-related
- Research Institution
  Okayama University
Study of group actions on manifolds by psedo-inverse limit systems of equivariant framed maps
- Principal Investigator
  
  森本雅治
- Project Period (FY)
  2018 – 2022
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 11020:Geometry-related
- Research Institution
  Okayama University
A study of multiplicities associated to a graded ring extensionPrincipal Investigator
- Principal Investigator
  
  HAYASAKA Futoshi
- Project Period (FY)
  2012 – 2014
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Algebra
- Research Institution
  Hokkaido University of Education
  Kagoshima National College of Technology
A basic theory of the multiplicity of parameter modules over a local ringPrincipal Investigator
- Principal Investigator
  
  HAYASAKA Futoshi
- Project Period (FY)
  2010 – 2011
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Algebra
- Research Institution
  Kagoshima National College of Technology
Study of local rings with discrete class group and its Picard number
- Principal Investigator
  
  KURANO Kazuhiko
- Project Period (FY)
  2009 – 2011
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Meiji University
A research of algebraic cycles on local rings
- Principal Investigator
  
  KURANO Kazuhiko
- Project Period (FY)
  2006 – 2008
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Meiji University
Numerical equivalence on Chow groups of local rings and its applications
- Principal Investigator
  
  KURANO Kazuhiko
- Project Period (FY)
  2003 – 2005
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Meiji University

All 2022 2021 2020 2015 2014 2013 2012 2011 2010 2009 2008 2007 2006 Other

All Journal Article Presentation

[Journal Article] Indecomposable integrally closed modules of arbitrary rank over a two-dimensional regular local ring2022
- Author(s)
  Hayasaka Futoshi
- Journal Title
  
  Journal of Pure and Applied Algebra
  
  Volume: 226 Issue: 8 Pages: 107026-107026
- DOI
  10.1016/j.jpaa.2022.107026
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20K03535
[Journal Article] Constructing indecomposable integrally closed modules over a two-dimensional regular local ring2020
- Author(s)
  Hayasaka Futoshi
- Journal Title
  
  Journal of Algebra
  
  Volume: 556 Pages: 879-907
- DOI
  10.1016/j.jalgebra.2020.03.029
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20K03535
[Journal Article] A computation of Buchsbaum-Rim functions of two variables in a special case2015
- Author(s)
  Futoshi Hayasaka
- Journal Title
  
  Rocky Mountain Journal of Mathematics
  
  Volume: 未定
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24740032
[Journal Article] Asymptotic periodicity of primes associated to multigraded modules2014
- Author(s)
  Futoshi Hayasaka
- Journal Title
  
  Communications in Algebra
  
  Volume: Volume 42, Issue 6 Issue: 6 Pages: 2769-2778
- DOI
  10.1080/00927872.2013.774407
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24740032
[Journal Article] Asymptotic periodicity of primes associated to multigraded modules2013
- Author(s)
  Futoshi Hayasaka
- Journal Title
  
  Communications in Algebra
  
  Volume: 未定
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24740032
[Journal Article] Asymptotic periodicity of grade associated to multigraded modules2012
- Author(s)
  Futoshi Hayasaka
- Journal Title
  
  Proceedings of American Mathematical Society
  
  Volume: 140 Pages: 2279-2284
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22740027
[Journal Article] Asymptotic periodicity of grade associated to multigraded modules2012
- Author(s)
  Futoshi Hayasaka
- Journal Title
  
  Proceedings of the American Mathematical Society
  
  Volume: 140 Pages: 2279-2284
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22740027
[Journal Article] Asymptotic periodicity of grade associated to multigraded modules2012
- Author(s)
  Futoshi Hayasaka
- Journal Title
  
  Proceedings of the American Mathematical Society
  
  Volume: 140
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24740032
[Journal Article] On the Buchsbaum-Rim function of a parameter module2011
- Author(s)
  Futoshi Hayasaka, Eero Hyry
- Journal Title
  
  Journal of Algebra
  
  Volume: 327 Pages: 307-315
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22740027
[Journal Article] A note on the Buchsbaum-Rim multiplicity of a parameter module2010
- Author(s)
  F.Hayasaka
- Journal Title
  
  Proc.Amer.Math.Soc. 138
  
  Pages: 545-551
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540050
[Journal Article] On vanishing of certain Ext modules2008
- Author(s)
  S. Goto, F. Hayasaka and R. Takahashi
- Journal Title
  
  J. Math. Soc. Japan 60
  
  Pages: 1045-1064
- NAID
  10024905254
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540052
[Journal Article] A family of graded modules associated to a module2008
- Author(s)
  F. Hayasaka
- Journal Title
  
  Comm. Algebra 36
  
  Pages: 4201-4217
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540052
[Journal Article] A family of graded modules associated to a module2008
- Author(s)
  F. Hayasaka and E. Hyry
- Journal Title
  
  Comm. Algebra 36
  
  Pages: 4201-4217
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540052
[Journal Article] Asymptotic stability of primes associated to homogeneous components of multigraded modules2006
- Author(s)
  F. Hayasaka
- Journal Title
  
  J. Algebra 306
  
  Pages: 535-543
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540052
[Journal Article] Asymptotic stability of primes associated to homogeneous components of multigraded modules2006
- Author(s)
  F.Hayasaka
- Journal Title
  
  J.Algebra 306
- Data Source
  KAKENHI-PROJECT-18540052
[Journal Article] 2変数Hilbert函数の多項式記述についての一考察
- Author(s)
  早坂太・山田修平
- Journal Title
  
  明治大学理工学部研究報告 (掲載決定)
- NAID
  40016269279
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540052
[Journal Article] 2変数Hilbert函数の多項式記述についての-考察
- Author(s)
  早坂太
- Journal Title
  
  明治大学理工学部研究報告 (to appear)(確定)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540052
[Journal Article] Asymptotic stability of primes associated to homogeneous components of multigraded modules
- Author(s)
  F.Hayasaka
- Journal Title
  
  J.Algebra (to appear)
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540038
[Journal Article] A family of graded modules associated to a module
- Author(s)
  F.Hayasaka
- Journal Title
  
  Communications in Algebra (to appear)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540052
[Journal Article] Asymptotic stability of primes associated to homogeneous components of multigraded modules
- Author(s)
  F.Hayasaka
- Journal Title
  
  J. Algebra to appear
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540038
[Presentation] A note on the Buchsbaum-Rim multiplicity of modules over a two-dimensional regular local ring2021
- Author(s)
  早坂太
- Organizer
  第42回可換環論シンポジウム
- Data Source
  KAKENHI-PROJECT-20K03535
[Presentation] 単項式イデアルに付随する高階数直既約整閉加群2020
- Author(s)
  早坂太
- Organizer
  可換環論オンラインワークショップ
- Invited
- Data Source
  KAKENHI-PROJECT-20K03535
[Presentation] 加群の２変数ブックスバウム・リム関数の計算2014
- Author(s)
  早坂太
- Organizer
  日本数学会
- Place of Presentation
  広島大学（広島県・東広島市）
- Year and Date
  2014-09-26
- Data Source
  KAKENHI-PROJECT-24740032
[Presentation] 多重次数付き加群のgradeの漸近的周期性2011
- Author(s)
  早坂太
- Organizer
  日本数学会
- Place of Presentation
  信州大学
- Year and Date
  2011-09-28
- Data Source
  KAKENHI-PROJECT-22740027
[Presentation] Asymptotic behavior of primes associated to multigraded modules2011
- Author(s)
  Futoshi Hayasaka
- Organizer
  The 7th Japan-Vietnam Joint Seminar on Commutative Algebra
- Place of Presentation
  Quy Nhon University(ベトナム)
- Year and Date
  2011-12-16
- Data Source
  KAKENHI-PROJECT-22740027
[Presentation] Asymptotic behavior of primes associated to multigraded modules2011
- Author(s)
  Futoshi Hayasaka
- Organizer
  The 7th Japan-Vietnam Joint Semianr on Commutative Algebra
- Place of Presentation
  Quy Nhon University (Vietnam)(招待講演)
- Year and Date
  2011-12-16
- Data Source
  KAKENHI-PROJECT-22740027
[Presentation] Asymptotic periodicity of primes associated to multigraded modules2011
- Author(s)
  早坂太
- Organizer
  第33回可換環論シンポジウム
- Place of Presentation
  浜名湖カリアック(浜松)
- Year and Date
  2011-11-08
- Data Source
  KAKENHI-PROJECT-22740027
[Presentation] The Buchsbaum-Rim function of a parameter module2010
- Author(s)
  早坂太
- Organizer
  The 5th Japan-Vietnam Joint Seminar on Commutative Algebra
- Place of Presentation
  Institute of Mathematics Hanoi
- Year and Date
  2010-01-09
- Data Source
  KAKENHI-PROJECT-21540050
[Presentation] Asymptotic behavior of the grade associated to multigraded modules2010
- Author(s)
  早坂太
- Organizer
  第32回可換環論シンポジウム・The 6th Japan-Vietnam Joint Seminar on Commutative Algebra
- Place of Presentation
  IPC生産性国際交流センター(葉山)
- Year and Date
  2010-12-13
- Data Source
  KAKENHI-PROJECT-22740027
[Presentation] Asymptotic behavior of the grade associated to multigraded modules2010
- Author(s)
  早坂太
- Organizer
  第32回可換環論シンポジウム・The 6^<th> Japan-Vietnam Joint Seminar on Commutative Algebra
- Place of Presentation
  IPC生産性国際交流センター(葉山)
- Year and Date
  2010-12-13
- Data Source
  KAKENHI-PROJECT-22740027
[Presentation] 加群のブックスバウム・リム関数2010
- Author(s)
  早坂太
- Organizer
  第141回数理情報科学談話会
- Place of Presentation
  鹿児島大学
- Year and Date
  2010-07-28
- Data Source
  KAKENHI-PROJECT-22740027
[Presentation] パラメータ加群の重複度について2009
- Author(s)
  早坂太
- Organizer
  日本数学会
- Place of Presentation
  東京大学
- Year and Date
  2009-03-29
- Data Source
  KAKENHI-PROJECT-18540052
[Presentation] ある素因子の集合の漸近挙動について2009
- Author(s)
  早坂太
- Organizer
  第21回可換環論セミナー
- Place of Presentation
  釧路市生涯学習センター
- Year and Date
  2009-01-28
- Data Source
  KAKENHI-PROJECT-18540052
[Presentation] The Buchsbaum-Rim function of a parameter module2009
- Author(s)
  早坂太
- Organizer
  Summer Seminar on ring theory
- Place of Presentation
  大阪府立大学
- Year and Date
  2009-06-25
- Data Source
  KAKENHI-PROJECT-21540050
[Presentation] On the Buchsbaum-Rim multiplicity of a parameter module2009
- Author(s)
  F. Hayasaka
- Organizer
  The 4-th Japan-Vietnam Joint Seminar on Comniutative Algebra
- Place of Presentation
  明治大学理工学部
- Year and Date
  2009-02-21
- Data Source
  KAKENHI-PROJECT-18540052
[Presentation] The Buchsbaum-Rim function of a parameter module2009
- Author(s)
  早坂太
- Organizer
  第42回環論および表現論シンポジウム
- Place of Presentation
  大阪教育大学
- Year and Date
  2009-10-10
- Data Source
  KAKENHI-PROJECT-21540050
[Presentation] A note on the Buchsbaum-Rim function of a parameter module2009
- Author(s)
  早坂太
- Organizer
  第31回可換環論シンポジウム
- Place of Presentation
  ホテルアウィーナ大阪
- Year and Date
  2009-11-26
- Data Source
  KAKENHI-PROJECT-21540050
[Presentation] パラメータ加群のブックスバウム・リム関数2009
- Author(s)
  早坂太
- Organizer
  日本数学会年会
- Place of Presentation
  大阪大学
- Year and Date
  2009-09-26
- Data Source
  KAKENHI-PROJECT-21540050
[Presentation] On the Buchsbaum-Rim multiplicity of a parameter module2009
- Author(s)
  F. Hayasaka
- Organizer
  The 4-th Japan-Vietnam Joint Seminar on Commutative Algebra
- Place of Presentation
  明治大学理工学部
- Year and Date
  2009-02-21
- Data Source
  KAKENHI-PROJECT-18540052
[Presentation] A family of graded modules associated to a module2008
- Author(s)
  F. Hayasaka
- Organizer
  International Conference in Commutative Algebra, IIT-Bombay
- Place of Presentation
  Mumbai(India)
- Year and Date
  2008-01-08
- Data Source
  KAKENHI-PROJECT-18540052
[Presentation] A family of graded modules associated tO a module2008
- Author(s)
  早坂太
- Organizer
  International Conferance in Commutative Algebra
- Place of Presentation
  IIT-Bombay、インド
- Year and Date
  2008-01-10
- Data Source
  KAKENHI-PROJECT-18540052
[Presentation] A note on the Buchsbaum-Rim multiplicity2008
- Author(s)
  早坂太
- Organizer
  第30回可換環論シンポジウム
- Place of Presentation
  佐賀
- Year and Date
  2008-11-18
- Data Source
  KAKENHI-PROJECT-18540052
[Presentation] パラメータ加群とブックスバウム・リム重複度2008
- Author(s)
  早坂太
- Organizer
  第20回可換環論セミナー
- Place of Presentation
  千葉
- Year and Date
  2008-01-28
- Data Source
  KAKENHI-PROJECT-18540052
[Presentation] Aパラメータ加群とブックスバウム・リム重複度2008
- Author(s)
  早坂太
- Organizer
  第20回可換環論セミナー
- Place of Presentation
  千葉県勝浦市
- Year and Date
  2008-01-30
- Data Source
  KAKENHI-PROJECT-18540052
[Presentation] A certain family of graded modules associated to a module2007
- Author(s)
  早坂太
- Organizer
  第19回可換環論セミナー
- Place of Presentation
  九州大学
- Year and Date
  2007-01-29
- Data Source
  KAKENHI-PROJECT-18540052
[Presentation] 加群に随伴するある次数加群の族について2007
- Author(s)
  早坂太
- Organizer
  日本数学会
- Place of Presentation
  東北大学
- Year and Date
  2007-09-23
- Data Source
  KAKENHI-PROJECT-18540052
[Presentation] A family of graded modules associated to a module2007
- Author(s)
  早坂太
- Organizer
  第29回可換環論シンポジウム
- Place of Presentation
  愛知厚生年金会館ウェルシティなごや
- Year and Date
  2007-11-19
- Data Source
  KAKENHI-PROJECT-18540052
[Presentation] On certain graded modules associated to a module2007
- Author(s)
  早坂太
- Organizer
  The 3rd Japan-Vietnam joint seminar on commutative algebra
- Place of Presentation
  InStit,ut,e of Mathematics,Hanoi,Vietnam
- Year and Date
  2007-12-04
- Data Source
  KAKENHI-PROJECT-18540052
[Presentation] On certain graded modules associated to a module2007
- Author(s)
  F. Hayasaka
- Organizer
  The 3rd Japan-Vietnam Joint Seminar on Commutative Algebra
- Place of Presentation
  Institute of Mathematics, Hanoi, Vietnam
- Year and Date
  2007-12-03
- Data Source
  KAKENHI-PROJECT-18540052
[Presentation] A computation of Buchsbaum-Rim multiplicities in a special case
- Author(s)
  早坂太
- 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-24740032
[Presentation] 次数付き環拡大に付随する重複度の計算
- Author(s)
  早坂太
- Organizer
  第25回可換環論セミナー
- Place of Presentation
  奈良新公会堂
- Data Source
  KAKENHI-PROJECT-24740032
[Presentation] 次数付き環拡大に付随する関数と重複度の計算
- Author(s)
  早坂太
- Organizer
  明治大学可換環論セミナー
- Place of Presentation
  明治大学生田キャンパス
- Data Source
  KAKENHI-PROJECT-24740032
[Presentation] 巴系加群に付随する関数と重複度の計算
- Author(s)
  早坂太
- Organizer
  明治大学可換環論セミナー
- Place of Presentation
  明治大学生田キャンパス
- Data Source
  KAKENHI-PROJECT-24740032
[Presentation] 多重次数付き加群の素イデアルの漸近的周期性
- Author(s)
  早坂太
- Organizer
  日本数学会
- Place of Presentation
  九州大学
- Data Source
  KAKENHI-PROJECT-24740032
[Presentation] Buchsbaum-Rim multiplicity and its generalization
- Author(s)
  早坂太
- Organizer
  南九州代数系集会
- Place of Presentation
  鹿児島大学
- Data Source
  KAKENHI-PROJECT-24740032

1. KURANO Kazuhiko (90205188)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
2. KAMOI Yuji (80308064)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
3. GOTO Shiro (50060091)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
4. NAKAMURA Yukio (00308066)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
5. SAKURAI Hideto (00409450)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
6. 川崎健 (40301410)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
7. 森本雅治 (30166441)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results

Hayasaka Futoshi 早坂 太

早坂 太 ハヤサカ フトシ

HAYASAKA Futoshi 早坂 太

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局所環論への応用に向けた整閉加群の探究Principal Investigator

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整閉包の理論の新展開と局所環論への応用Principal Investigator

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Study of group actions on manifolds by psedo-inverse limit systems of equivariant framed maps

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A study of multiplicities associated to a graded ring extensionPrincipal Investigator

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A basic theory of the multiplicity of parameter modules over a local ringPrincipal Investigator

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Study of local rings with discrete class group and its Picard number

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A research of algebraic cycles on local rings

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Numerical equivalence on Chow groups of local rings and its applications

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[Journal Article] Indecomposable integrally closed modules of arbitrary rank over a two-dimensional regular local ring2022

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[Journal Article] Constructing indecomposable integrally closed modules over a two-dimensional regular local ring2020

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[Journal Article] A computation of Buchsbaum-Rim functions of two variables in a special case2015

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[Journal Article] Asymptotic periodicity of primes associated to multigraded modules2014

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[Journal Article] Asymptotic periodicity of primes associated to multigraded modules2013

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[Journal Article] Asymptotic periodicity of grade associated to multigraded modules2012

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Hayasaka Futoshi 早坂太

早坂太ハヤサカフトシ

HAYASAKA Futoshi 早坂太