Hiroki Matsui

Japanese / English

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Preprints

  1. Depth formula for modules of finite reducing projective dimension (with Olgur Celikbas, Toshinori Kobayashi, and Brian Laverty)
    arXiv:2312.06996

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

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

  4. Some characterizations of local rings via reducing dimensions (with Olgur Celikbas, Souvik Dey, and Toshinori Kobayashi)
    arXiv:2212.05220

Publications

  1. On the reducing projective dimension of the residue field (with Olgur Celikbas, Souvik Dey, and Toshinori Kobayashi)
    Glasg. Math. J. (to appear)

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

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

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

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

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

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

  10. 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

  11. 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

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

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

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

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

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

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

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

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

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

  21. 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