Hiroki Matsui

Japanese / English

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Preprints

  1. On the vanishing of self extensions of even-periodic modules (with Ela Celikbas, Olgur Celikbas, and Ryo Takahashi)
    arXiv:2408.02820

  2. A new proof of the Bondal-Orlov reconstruction using Matsui spectra (with Ito Daigo)
    arXiv:2405.16776

  3. Two theorems on the vanishing of Ext (with Olgur Celikbas, Souvik Dey, Toshinori Kobayashi, and Arash Sadeghi)
    arXiv:2308.08999

  4. Triangular spectra and their applications to derived categories of noetherian schemes
    arXiv:2301.03168

Publications

  1. Depth formula for modules of finite reducing projective dimension (with Olgur Celikbas, Toshinori Kobayashi, and Brian Laverty)
    Ann. Mat. Pura Appl. (to appear)

  2. Some characterizations of local rings via reducing dimensions (with Olgur Celikbas, Souvik Dey, and Toshinori Kobayashi)
    Kyoto J. Math. (to appear)

  3. When is a subcategory Serre or torsionfree? (with Kei-ichiro Iima, Kaori Shimada, and Ryo Takahashi)
    Publ. Res. Inst. Math. Sci. (to appear)

  4. Remarks on a conjecture of Huneke and Wiegand and the vanishing of (co)homology (with Olgur Celikbas, Uyen Le, and Arash Sadeghi)
    J. Math. Soc. Japan 76 (2024), no. 3, 951--974

  5. On the reducing projective dimension over local rings (with Olgur Celikbas, Souvik Dey, and Toshinori Kobayashi)
    Glasg. Math. J. 66 (2024), no. 1, 104--118

  6. On the categorical entropy of the Frobenius pushforward functor (with Ryo Takahashi)
    Bull. Lond. Math. Soc. 55 (2023), no. 3, 1358--1372

  7. Serre's condition for tensor products and n-Tor-rigidity of modules
    J. Commut. Algebra 15 (2023), no. 1, 55--63

  8. An extension of a depth inequality of Auslander (with Olgur Celikbas and Uyen Le)
    Taiwanese J. Math. 26 (2022), no. 5, 903--926 　

  9. On the depth and reflexivity of tensor products (with Olgur Celikbas and Uyen Le)
    J. Algebra 606 (2022), 916--932

  10. Filtrations in module categories, derived categories and prime spectra (with Ryo Takahashi)
    Int. Math. Res. Not. IMRN 2022 (2022), no. 5, 3457--3492

  11. Prime thick subcategories and spectra of derived and singularity categories of noetherian schemes
    Pacific J. Math. 313 (2021), no. 2, 433--457

  12. On an example concerning the second rigidity theorem (with Olgur Celikbas and Arash Sadeghi)
    AMS Contemp. Math. 773 (2021), 1--10
    Commutative Algebra: 150 Years with Roger and Sylvia Wiegand

  13. Cohomological dimensions of specialization-closed subsets and subcategories of modules (with Tran Tuan Nam, Ryo Takahashi, Nguyen Minh Tri, and Do Ngoc Yen)
    Proc. Amer. Math. Soc. 149 (2021), no. 2, 481--496

  14. Construction of spectra of triangulated categories and applications to commutative rings (with Ryo Takahashi)
    J. Math. Soc. Japan 72 (2020), no. 4, 1283--1307

  15. Singular equivalences of commutative noetherian rings and reconstruction of singular loci
    J. Algebra 522 (2019), 170--194

  16. Connectedness of the Balmer spectra of the right bounded derived category
    J. Pure. Appl. Algebra 222 (2018), no. 11, 3733--3744

  17. Classifying dense resolving and coresolving subcategories of exact categories via Grothendieck groups
    Algebr. Represent. Theory 21 (2018), no. 3, 551--563

  18. Thick tensor ideals of right bounded derived categories (with Ryo Takahashi)
    Algebra Number Theory 11 (2017), no. 7, 1677--1738

  19. When are n-syzygy modules n-torsionfree? (with Ryo Takahashi and Yoshinao Tsuchiya)
    Arch. Math. (Basel) 108 (2017), no. 4, 351--355

  20. Singularity categories and singular equivalences for resolving subcategories (with Ryo Takahashi)
    Math Z. 285 (2017), no. 1, 251--286

  21. Prethick subcategories of modules and characterizations of local rings (with Hayato Murata)
    Comm. Algebra 44 (2016), no. 7, 3153--3159

  22. The structure of preenvelopes with respect to maximal Cohen-Macaulay modules
    J. Algebra 447 (2016), 516--529

  23. Maximal Cohen-Macaulay approximations and Serre's condition (with Ryo Takahashi)
    Acta Math. Vietnam. 40 (2015), no. 1, 197--203
    Special Issue: Commutative Algebra and its Interaction with Algebraic Geometry and Combinatrics