Ryo Takahashi

Papers

33. Contravariantly finite resolving subcategories over commutative rings
    Amer. J. Math. (to appear).
    
    
32. On existence of embeddings into modules of finite homological dimensions (with Siamak Yassemi and Yuji Yoshino)
    Proc. Amer. Math. Soc. (to appear).
    
    
31. Homological aspects of semidualizing modules (with Diana White)
    Math. Scand. (to appear).
    
    
30. On localizing subcategories of derived categories
    J. Math. Kyoto Univ. 49 (2009), no. 4, 771--783.
    
    
29. A generalization of a theorem of Foxby (with Tokuji Araya)
    Arch. Math. (Basel) 93 (2009), no. 2, 123--127.
    
    
28. Modules in resolving subcategories which are free on the punctured spectrum
    Pacific J. Math. 241 (2009), no. 2, 347--367.
    
    
27. Local cohomology based on a nonclosed support defined by a pair of ideals (with Yuji Yoshino and Takeshi Yoshizawa)
    J. Pure Appl. Algebra 213 (2009), no. 4, 582--600.
    
    
26. Classifying subcategories of modules over a commutative noetherian ring
    J. Lond. Math. Soc. (2) 78 (2008), no. 3, 767--782.
    
    
25. On G-regular local rings
    Comm. Algebra 36 (2008), no.12, 4472--4491.
    
    
24. On vanishing of certain Ext modules (with Shiro Goto and Futoshi Hayasaka)
    J. Math. Soc. Japan 60 (2008), no. 4, 1045--1064.
    
    
23. Finite Gorenstein representation type implies simple singularity (with Lars Winther Christensen, Greg Piepmeyer and Janet Striuli)
    Adv. Math. 218 (2008), no. 4, 1012--1026.
    
    
22. D-modules over rings with finite F-representation type (with Shunsuke Takagi)
    Math. Res. Lett. 15 (2008), no. 3, 563--581.
    
    
21. Direct summands of syzygy modules of the residue class field
    Nagoya Math. J. 189 (2008), 1--25.
    
    
20. Quasi-socle ideals in a Gorenstein local ring (with Shiro Goto and Naoyuki Matsuoka)
    J. Pure Appl. Algebra 212 (2008), no. 5, 969--980.
    
    
19. An uncountably infinite number of indecomposable totally reflexive modules
    Nagoya Math. J. 187 (2007), 35--48.
    
    
18. A characterization of modules locally of finite injective dimension
    Proc. Amer. Math. Soc. 135 (2007), no. 11, 3461--3464.
    
    
17. Totally reflexive modules constructed from smooth projective curves of genus g >= 2 (with Kei-ichi Watanabe)
    Arch. Math. (Basel) 89 (2007), no. 1, 60--67.
    
    
16. On the number of indecomposable totally reflexive modules
    Bull. London Math. Soc. 39 (2007), no. 3, 487--492.
    
    
15. A new approximation theory which unifies spherical and Cohen-Macaulay approximations
    J. Pure Appl. Algebra 208 (2007), no. 2, 617--634.
    
    
14. Openness of FID-loci
    Glasg. Math. J. 48 (2006), no. 3, 431--435.
    
    
13. The existence of finitely generated modules of finite Gorenstein injective dimension
    Proc. Amer. Math. Soc. 134 (2006), no. 11, 3115--3121.
    
    
12. Remarks on modules approximated by G-projective modules
    J. Algebra 301 (2006), no. 2, 748--780.
    
    
11. A note on a theorem of F. Wang and G. Tang
    Bull. Austral. Math. Soc. 73 (2006), 293--297.
    
    
10. Syzygy modules with semidualizing or G-projective summands
    J. Algebra 295 (2006), no. 1, 179--194.
    
    
9. On the category of modules of Gorenstein dimension zero
   Math. Z. 251 (2005), no. 2, 249--256.
   
   
8. Homological invariants associated to semi-dualizing bimodules (with Tokuji Araya and Yuji Yoshino)
   J. Math. Kyoto Univ. 45 (2005), no. 2, 287--306.
   
   
7. Modules of G-dimension zero over local rings of depth two
   Illinois J. Math. 48 (2004), no. 3, 945--952.
   
   
6. Upper Cohen-Macaulay dimension (with Tokuji Araya and Yuji Yoshino)
   Math. J. Okayama Univ. 46 (2004), 17--30.
   
   
5. Some characterizations of Gorenstein local rings in terms of G-dimension
   Acta Math. Hungar. 104 (2004), no. 4, 315--322.
   
   
4. Characterizing Cohen-Macaulay local rings by Frobenius maps (with Yuji Yoshino)
   Proc. Amer. Math. Soc. 132 (2004), no. 11, 3177--3187.
   
   
3. On the category of modules of Gorenstein dimension zero II
   J. Algebra 278 (2004), no. 1, 402--410.
   
   
2. Upper complete intersection dimension relative to a local homomorphism
   Tokyo J. Math. 27 (2004), no. 1, 209--219.
   
   
1. Nagata criterion for Serre's (R_n) and (S_n)-conditions
   Math. J. Okayama Univ. 41 (1999), 37--43 (2001).
   
   

Others

• On the structure of Cohen-Macaulay modules over hypersurfaces of countable Cohen-Macaulay representation type (with Tokuji Araya and Kei-ichiro Iima)
  Preprint 2010.
  
  
• Classifying thick subcategories of the stable category of Cohen-Macaulay modules
  Preprint 2009.
  
  
• The category of modules of Gorenstein dimension zero
  Sixth International Joint Meeting of AMS-SMM, Special Session on Homological Algebra of Commutative Rings, Hyatt Regency Houston, May, 2004.
  
  
• Cohen-Macaulay rings and related homological dimensions
  Ph.D. thesis, Okayama University, March, 2004.