Takuma Aihara

Tokyo Gakugei University

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Papers

Talks (2021～)

Talks (～2020)

Organizers, etc

Preprints

  1. A note on a homological epimorphism whose source is a piecewise hereditary algebra
    arXiv (2026): 2601.01883.
  2. Examples of tilting-discrete symmetric algebras
    arXiv (2025): 2511.06695.

Publications

  1. When is the silting-discreteness inherited? (with T. Honma)
    Nagoya Math. J., 256 (2024), 905--927.
  2. A symmetry of silting quivers (with Q. Wang)
    Glasg. Math. J. 65 (2023), no. 3, 687--696.
  3. On representation-finite gendo-symmetric algebras with only one non-injective projective module (with A. Chan and T. Honma)
    J. Algebra 603 (2022), 61--88.
  4. Report on the finiteness of silting objects (with T. Honma, K. Miyamoto and Q. Wang)
    Proc. Edinb. Math. Soc. (2) 64 (2021), no. 2, 217--233.
  5. τ-tilting finite triangular matrix algebras (with T. Honma)
    J. Pure Appl. Algebra 225 (2021), no. 12, Paper No. 106785, 10pp.
  6. Remarks on dimensions of triangulated categories (with R. Takahashi)
    J. Algebra 521 (2019), 235--246.
  7. Algebras sharing the same support τ-tilting poset with tree quiver algebras (with R. Kase)
    Q. J. Math. 69 (2018), no. 4, 1303--1325.
  8. Classification of two-term tilting complexes over Brauer graph algebras (with T. Adachi and A. Chan)
    Math. Z. 290 (2018), no. 1--2, 1--36.
  9. Classifying tilting complexes over preprojective algebras of Dynkin type (with Y. Mizuno)
    Algebra Number Theory 11 (2017), no. 6, 1287--1315.
  10. Generators and dimensions of derived categories of modules (with R. Takahashi)
    Comm. Algebra 43 (2015), no. 11, 5003--5029.
  11. Endofunctors of singularity categories characterizing Gorenstein rings (with R. Takahashi)
    Proc. Amer. Math. Soc. 143 (2015), no. 9, 3777--3779.
  12. Derived equivalences between symmetric special biserial algebras
    J. Pure Appl. Algebra 219 (2015), no. 5, 1800--1825.
  13. Mutating Brauer trees
    Math. J. Okayama Univ. 56 (2014), 1--16.
  14. Dimensions of triangulated categories with respect to subcategories (with T. Araya, O. Iyama, R. Takahashi and M. Yoshiwaki)
    J. Algebra 399 (2014), 205--219.
  15. Tilting-connected symmetric algebras
    Algebr. Represent. Theory 16 (2013), no. 3, 873--894.
  16. Silting mutation in triangulated categories (with O. Iyama)
    J. Lond. Math. Soc. (2) 85 (2012), no. 3, 633--668.

Articles

Under Construction

Theses