多値論理における極小クローンと本質的極小クローンの決定と分類

• Project/Area Number: 26400188
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Multi-year Fund
• Section: 一般
• Research Field: Foundations of mathematics/Applied mathematics
• Research Institution: International Christian University
• Principal Investigator: 町田 元 国際基督教大学, アーツ・サイエンス研究科, 研究員 (40090534)
• Project Period (FY): 2014-04-01 – 2016-03-31
• Project Status: Discontinued (Fiscal Year 2015)
• Budget Amount: ¥4,810,000 (Direct Cost: ¥3,700,000、Indirect Cost: ¥1,110,000); Fiscal Year 2016: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000); Fiscal Year 2015: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000); Fiscal Year 2014: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
• Keywords: 科研費辞退により設定不可 / 離散数学 / 普遍代数 / クローン理論

Outline of Annual Research Achievements

「科研費支払い請求の際、所属機関担当部署よりしばしば承服しがたい制約や要求を課され、科研費の円滑な使用が困難である」という理由により、今年度の科研費の受領を辞退した。そのため、今年度の科研費による研究実績はない。

Research Products

• [Journal Article] Lazy clones and essentially minimal clones (2015)
  • Author(s): H. Machida and T. Waldhauser
  • Journal Title: Proceedings 45th International Symposium on Multiple-Valued Logic Volume: 45
  • Peer Reviewed
• [Journal Article] Some classes of centralizing monoids on a three-element set (2015)
  • Author(s): M. Goldstern, H. Machida, and I. G. Rosenberg
  • Journal Title: Proceedings 45th International Symposium on Multiple-Valued Logic Volume: 45
  • Peer Reviewed
• [Journal Article] Upward saturated hyperclones (2014)
  • Author(s): J. Colic, H. Machida and J. Pantovic
  • Journal Title: Journal of Multiple-Valued Logic and Soft Computing Volume: 24 Pages: 189-201
  • Peer Reviewed
• [Journal Article] Essentially minimal clones of rank 3 on a three-element set (2014)
  • Author(s): H. Machida and I. G. Rosenberg
  • Journal Title: Proceedings 44th International Symposium on Multiple-Valued Logic Volume: 44 Pages: 97-102
  • Peer Reviewed
• [Journal Article] Lazy clones and essentially minimal clones (2014)
  • Author(s): H. Machida
  • Journal Title: 京都大学数理解析研究所講究録 Volume: 1915 Pages: 74-77
• [Presentation] Some examples of centralizing monoids in clone theory (2015)
  • Author(s): H. Machida
  • Organizer: 京都大学数理解析研究所研究集会
  • Place of Presentation: 京都市
  • Year and Date: 2015-02-17
• [Presentation] Report on centralizing monoids on E_3 (2014)
  • Author(s): H. Machida
  • Organizer: Summer School on Algebra and Ordered Sets (SSAOS 2014)
  • Place of Presentation: Stara Lesna, Slovakia
  • Year and Date: 2014-09-10
• [Presentation] Maximal centralizing monoids and minimal clones (2014)
  • Author(s): H. Machida
  • Organizer: Workshop on Semigroups, Languages and Algebras
  • Place of Presentation: 秋田市
  • Year and Date: 2014-08-07
• [Presentation] Some observations on centralizing monoids and minimal clones (2014)
  • Author(s): H. Machida
  • Organizer: Algebras & Clones Fest
  • Place of Presentation: Prague, Czech Republic
  • Year and Date: 2014-07-02
• [Presentation] Essentially minimal clones of rank 3 on a three-element set (2014)
  • Author(s): H. Machida
  • Organizer: Fourty Fourth International Symposium on Multiple-Valued Logic
  • Place of Presentation: Bremen, Germany
  • Year and Date: 2014-05-19