# 研究業績

## 研究論文

1. Ulrich ideals and modules, Math. Proc. Cambridge Philos. Soc., 156(2014), 137--166 (with Kazuho Ozeki, Ryo Takahashi, Kei-ichi Watanabe, Ken-ichi Yoshida ) .
2. Sally’s question and a conjecture of Shimoda, Nagoya Math. J., 211(2013), 137--161 (with Liam O'Carroll, Francesc Planas-Vilanova ) .
3. Variation of Hilbert coefficients, , 141(2013), 3037--3048 (with Laura Ghezzi, Jooyoun Hong, Wolmer V. Vasconcelos ) .
4. Almost Gorenstein rings, J. Algebra, 379(2013), 355--381 (with Naoyuki Matsuoka , Tran Thi Phuong ) .
5. The equality \$I^2=\germ{q}I\$ in sequentially Cohen-Macaulay rings, J. Algebra, 379(2013), 50--79 (with Nguyen Tu Cuong, Hoang Le Truong ) .
6. Hilbert coefficients and sequentially Cohen-Macaulay modules, J. Pure Appl. Algebra, 217(2013), 470--480 (with Nguyen Tu Cuong, Hoang Le Truong ) .
7. The homology of parameter ideals, J. Algebra, 368(2012), 271--299 (with Jooyoun Hong, Wolmer V. Vasconcelos ) .
8. The leading ideal of a complete intersection of height two, Part III, Comm. Algebra, 40(2012), 2523--2539 (with William Heinzer, Kim Mee-Kyoung ) .
9. Uniform bounds for Hilbert coefficients of parameters, Contemp. Math., 555(2011), 97--118 (with Kazuho Ozeki ) .
10. Variation of the first Hilbert coefficients of parameters with a common integral closure, J. Pure Appl. Algebra, 216(2012), 216--232 (with Laura Ghezzi , Jooyoun Hong, Kazuho Ozeki, Tran Thi Phuong, Wolmer V. Vasconcelos, ) .
11. The positivity of the first coefficients of normal Hilbert polynomials, Proc. Amer. Math. Soc., 139(2011), 2399--2406 (with Jooyoun Hong, Mousumi Mandal ) .
12. Quasi-socle ideals in Buchsbaum rings, Nagoya Math. J., 200(2010), 93--106 (with Jun Horiuchi, Hideto Sakurai ) .
13. Buchsbaumness in local rings possessing constant first Hilbert coefficients of parameters, Nagoya Math. J., 199(2010), 95--105 (with Kazuho Ozeki ) .
14. The structure of Sally modules—towards a theory of non-Cohen-Macaulay cases, J. Algebra, 324(2010), 2129--2165 (with Kazuho Ozeki ) .
15. Cohen-Macaulayness versus the vanishing of the first Hilbert coefficient of parameter ideals, J. Lond. Math. Soc. (2), 81(2010), 679--695 (with Laura Ghezzi, Jooyoun Hong, Kazuho Ozeki, Tran Thi Phuong, Wolmer V. Vasconcelos ) .
16. Sequentially Cohen-Macaulayness versus parametric decomposition of powers of parameter ideals, J. Commut. Algebra, 2(2010), 37--54 (with Yosuke Horiuchi, Hideto Sakurai ) .
17. Quasi-socle ideals and Goto numbers of parameters, J. Pure Appl. Algebra, 214(2010), 501--511 (with Satoru Kimura, Tran Thi Phuong, Hoang Le Truong ) .
18. Quasi-socle ideals in local rings with Gorenstein tangent cones, J. Commut. Algebra, 1(2009), 603--620 (with Satoru Kimura , Naoyuki Matsuoka, Tran Thi Phuong ) .
19. Sally modules of rank one, Michigan Math. J., 57(2008), 359--381 (with Koji Nishida, Kazuho Ozeki ) .
20. On vanishing of certain Ext modules, J. Math. Soc. Japan, 60(2008), 1045--1064 (with Futoshi Hayasaka, Ryo Takahashi ) .
21. The structure of Sally modules of rank one, , 15(2008), 881--892 (with Koji Nishida, Kazuho Ozeki ) .
22. The leading ideal of a complete intersection of height two in a 2-dimensional regular local ring, Comm. Algebra, 36(2008), 1901--1910 (with William Heinzer, Mee-Kyoung Kim ) .
23. Quasi-socle ideals in Gorenstein numerical semigroups rings, J. Algebra, 320(2008), 276--293 (with Satoru Kimura, Naoyuki Matsuoka ) .
24. Quasi-socle ideals in a Gorenstein local ring, J. Pure Appl. Algebra, 212(2008), 969--980 (with Ryo Takahashi, Naoyuki Matsuoka ) .
25. The leading ideal of a complete intersection of height two. II, J. Algebra, 312(2007), 709--732 (with William Heinzer, Mee-Kyoung Kim ) .
26. Buchsbaum homogeneous algebras with minimal multiplicity, J. Pure Appl. Algebra, 210(2007), 732--749 (with Ken-ichi Yoshida ) .
27. Stanley-Reisner ideals whose powers have finite length cohomologies, Proc. Amer. Math. Soc., 135(2007), 2355--2364 (with Yukihide Takayama ) .
28. The leading ideal of a complete intersection of height two, J. Algebra, 298(2006), 238--247 (with William Heinzer, Mee-Kyoung Kim ) .
29. Rees algebras of the second syzygy module of the residue field of a regular local ring, Contemp. Math., 390(2005), 97--108 (with Futoshi Hayasaka, Kazuhiko Kurano, Yukio Nakamura ) .
30. When does the equality \$I^2=QI\$ hold true in Buchsbaum rings?,Commutative algebra, Lect. Notes Pure Appl. Math., 244(2006), 115--139 (with Hideto Sakurai ) .
31. Gorenstein graded rings associated to ideals, J. Algebra, 294(2005), 373--407 (with Shin-ichiro Iai ) .
32. The reduction exponent of socle ideals associated to parameter ideals in a Buchsbaum local ring of multiplicity two, J. Math. Soc. Japan, 56(2004), 1157--1168 (with Hideto Sakurai ) .
33. On the parametric decomposition of powers of parameter ideals in a Noetherian local ring, Tokyo J. Math., 27(2004), 125--135 (with Yasuhiro Shimoda ) .
34. Parametric decomposition of powers of ideals versus regularity of sequences, Proc. Amer. Math. Soc., 132(2004), 929--933 (with Yasuhiro Shimoda ) .
35. The equality \$I^2=QI\$ in Buchsbaum rings, Rend. Sem. Mat. Univ. Padova, 110(), 25--56 (with Hideto Sakurai ) .
36. Towards a theory of Gorenstein \$¥germ m\$-primary integrally closed ideals, NATO Sci. Ser. II Math. Phys. Chem., 115(2003), 159--177 (with Futoshi Hayasaka, Satoe Kasuga ) .
37. Hilbert coefficients and Buchsbaumness of associated graded rings, J. Pure Appl. Algebra, 181(2003), 61--74 (with Koji Nishida ) .
38. Finite homological dimension and primes associated to integrally closed ideals. II, J. Math. Kyoto Univ., 42(2002), 631--639 (with Futoshi Hayasaka ) .
39. Good ideals in Artinian Gorenstein local rings obtained by idealization, Tokyo J. Math., 25(2002), 439--499 (with Satoshi Haraikawa ) .
40. Equimultiple good ideals, J. Math. Kyoto Univ., 42(2002), 21--32 (with Mee-Kyoung Kim ) .
41. The \$a\$-invariant and Gorensteinness of graded rings associated to filtrations of ideals in regular local rings, Proc. Amer. Math. Soc., 131(2003), 87--94 (with Futoshi Hayasaka, Shin-ichiro Iai ) .
42. Finite homological dimension and primes associated to integrally closed ideals, Proc. Amer. Math. Soc., 130(2002), 41--48 (with Futoshi Hayasaka ) .
43. The bound of the difference between parameter ideals and their tight closures, Tokyo J. Math., 25(2002), 41--48 (with Yukio Nakamura ) .
44. Towards a theory of Bass numbers with application to Gorenstein algebras, Colloq. Math., 91(2002), 191--253 (with Kenji Nishida ) .
45. Gorenstein associated graded rings of analytic deviation two ideals, J. Algebra, 248(2002), 708--723 (with Shin-ichiro Iai ) .
46. Good ideals in Gorenstein local rings obtained by idealization, Proc. Amer. Math. Soc., 130(2002), 337--344 (with Shin-ichiro Iai, Mee-Kyoung Kim ) .
47. Multiplicity and tight closures of parameters, J. Algebra, 244(2001), 302--311 (with Yukio Nakamura ) .
48. Good ideals in Gorenstein local rings, Trans. Amer. Math. Soc., 353(2001), 2309--2346 (with Shin-ichiro Iai, Kei-ichi Watanabe ) .
49. Injective dimension in Noetherian algebras, Proceedings of the 29th Symposium on Ring Theory and Representation Theory (Kashikojima, 1996), (1997), 7--16 .
50. Finite modules of finite injective dimension over a Noetherian algebra, J. London Math. Soc. (2), 63(2001), 319--335 (with Kenji Nishida ) .
51. Complete intersection in overrings of a certain one-dimensional Gorenstein graded local ring, J. Algebra, 233(2000), 772--790 (with Satoshi Haraikawa, Shin-Ichiro Iai, ) .
52. Cohen-Macaulayness and negativity of \$A\$-invariants in Rees algebras associated to \$¥germ m\$-primary ideals of minimal multiplicity, J. Pure Appl. Algebra, 152(2000), 93--107 .
53. Embeddings of certain graded rings into their canonical modules, J. Algebra, 228(2000), 377--396 (with Shin-ichiro Iai ) .
54. Minimal injective resolutions of Cohen-Macaulay isolated singularities, Arch. Math. (Basel), 73(1999), 249--255 (with Kenji Nishida ) .
55. Buchsbaumness in Rees algebras associated to ideals of minimal multiplicity, J. Algebra, 213(1999), 604--661 .
56. Catenarity in module-finite algebras, Proc. Amer. Math. Soc., 127(1999), 3495--3502 (with Kenji Nishida ) .
57. On the Gorensteinness in graded rings associated to certain ideals of analytic deviation one, Japan. J. Math. (N.S.), 23(1997), 303--318 (with Yukio Nakamura, Koji Nishida ) .
58. Cohen-Macaulay graded rings associated to ideals, Amer. J. Math., 118(1996), 1197--1213 (with Yukio Nakamura, Koji Nishida ) .
59. Cohen-Macaulayness in graded rings associated to ideals, J. Math. Kyoto Univ., 36(1996), 229--250 (with Yukio Nakamura, Koji Nishida ) .
60. Gorenstein graded rings associated to ideals of analytic deviation \$2\$, J. Algebra, 175(1995), 811--819 (with Yukio Nakamura ) .
61. Cohen-Macaulay Rees algebras of ideals having analytic deviation two, Tohoku Math. J. (2), 46(1994), 573--586 (with Yukio Nakamura ) .
62. On graded rings associated to analytic deviation one ideals, Amer. J. Math., 116(1994), 905--919 (with Sam Huckaba ) .
63. The Cohen-Macaulay and Gorenstein Rees algebras associated to filtrations, , (1994), -- (with Koji Nishida ) .
64. On the Gorensteinness of graded rings associated to ideals of analytic deviation one, "Contemp. Math.", 159(1994), 51--72 (with Yukio Nakamura ) .
65. Curve singularities of finite Buchsbaum-representation type, J. Algebra, 163(1994), 447--480 .
66. Prime ideals of height two whose associated graded rings are Gorenstein integral domains. An extension of Huckaba and Huneke’s examples, Comm. Algebra, 22(1994), 857--864 .
67. Filtrations and the Gorenstein property of the associated Rees algebras, Mem. Amer. Math. Soc., 110(1994), 69--134 (with Koji Nishida ) .
68. The Cohen-Macaulay symbolic Rees algebras for curve singularities, Mem. Amer. Math. Soc., 110(1994), 1--68 .
69. Non-Cohen-Macaulay symbolic blow-ups for space monomial curves and counterexamples to Cowsik’s question, Proc. Amer. Math. Soc., 120(1994), 383--392 (with Koji Nishida, Keiichi Watanabe ) .
70. Topics on symbolic Rees algebras for space monomial curves, Nagoya Math. J., 124(1991), 99--132 (with Koji Nishida, Yasuhiro Shimoda ) .
71. The Gorensteinness of the symbolic blow-ups for certain space monomial curves, Trans. Amer. Math. Soc., 340(1993), 323--335 (with Koji Nishida, Yasuhiro Shimoda ) .
72. The Gorensteinness of symbolic Rees algebras for space curves, J. Math. Soc. Japan, 43(1991), 465--483 (with Koji Nishida, Yasuhiro Shimoda ) .
73. Non-Cohen-Macaulay symbolic blow-ups for space monomial curves, Proc. Amer. Math. Soc., 116(1992), 305--311 (with Mayumi Morimoto ) .
74. What makes, Proc. Amer. Math. Soc., 112(1991), 605--611 (with Naoyoshi Suzuki ) .
75. On the structure of Noetherian symbolic Rees algebras, Manuscripta Math., 67(1990), 197--225 (with Manfred Herrmann, Koji Nishida ) .
76. Surface singularities of finite Buchsbaum-representation type, Math. Sci. Res. Inst. Publ., 15(1989), 247--263 .
77. On the surjectivity criterion for Buchsbaum modules, Proc. Amer. Math. Soc., 108(1990), 641--646 .
78. A conjecture of Sharp—the case of local rings with, , (1988), 27--34 (with Yoichi Aoyama ) .
79. Maximal Buchsbaum modules over regular local rings and a structure theorem for generalized Cohen-Macaulay modules, "Adv. Stud. Pure Math.", 11(1987), 39--64 .
80. Rings with only finitely many isomorphism classes of indecomposable maximal Buchsbaum modules, J. Math. Soc. Japan, 40(1988), 501--518 (with Kohji Nishida ) .
81. Integral closedness of complete-intersection ideals, J. Algebra, 108(1987), 151--160 .
82. A brief summary of the elements of the theory of dualizing complexes and Sharp’s conjecture, Queen's Papers in Pure and Appl. Math., 76(1986), -- (with Yoichi Aoyama ) .
83. Some special cases of a conjecture of Sharp, J. Math. Kyoto Univ., 26(1986), 613--634 (with Yoichi Aoyama ) .
84. On the endomorphism ring of the canonical module, J. Math. Kyoto Univ., 25(1985), 21--30 (with Yoichi Aoyama ) .
85. Linear free resolutions and minimal multiplicity, J. Algebra, 88(1984), 89--133 (with David Eisenbud ) .
86. Index of reducibility of parameter ideals in a local ring, J. Algebra, 87(1984), 53--88 (with Naoyoshi Suzuki ) .
87. A note on quasi-Buchsbaum rings, Proc. Amer. Math. Soc., 90(1984), 511--516 .
88. Noetherian local rings with Buchsbaum associated graded rings, J. Algebra, 86(1984), 336--384 .
89. A note on rings with finite local cohomology, Tokyo J. Math., 6(1983), 403--411 (with Tsukane Ogawa ) .
90. On the Gorensteinness of Rees and form rings of almost complete intersections, Nagoya Math. J., 92(1983), 69--88 (with Yasuhiro Shimoda ) .
91. On the associated graded rings of parameter ideals in Buchsbaum rings, J. Algebra, 85(1983), 490--534 .
92. Finite generation of Noetherian graded rings, Proc. Amer. Math. Soc., 89(1983), 41--44 (with Kikumichi Yamagishi ) .
93. Every Noetherian uniformly coherent ring has dimension at most \$2\$, J. Math. Kyoto Univ., 23(1983), 269--279 .
94. Vanishing of, J. Math. Kyoto Univ., 22(1982/83), 481--484 .
95. Buchsbaum rings of maximal embedding dimension, J. Algebra, 76(1982), 383--399 .
96. Approximately Cohen-Macaulay rings, J. Algebra, 76(1982), 214--225 .
97. Buchsbaum rings with multiplicity \$2\$, J. Algebra, 74(1982), 494--508 .
98. On Buchsbaum rings obtained by gluing, Nagoya Math. J., 83(1981), 123--135 .
99. On Buchsbaum rings, J. Algebra, 67(1980), 272--279 .
100. On the Cohen-Macaulayfication of certain Buchsbaum rings, Nagoya Math. J., 80(1980), 107--116 .
101. On Rees algebras over Buchsbaum rings, J. Math. Kyoto Univ., 20(1980), 691--708 (with Yasuhiro Shimoda ) .
102. On Gorenstein rings, Sugaku , 31(1979), 349--364 .
103. On the Gorensteinness of determinantal loci, J. Math. Kyoto Univ., 19(1979), 371--374 .
104. On graded rings. II., Tokyo J. Math., 1(1978), 237--261 (with Keiichi Watanabe ) .
105. The rank of syzygies under the action by a finite group, Nagoya Math. J., 71(1978), 1--12 .
106. A complex associated with a symmetric matrix, J. Math. Kyoto Univ., 17(1977), 51--54 (with Sadao Tachibana ) .
107. On graded rings. I, J. Math. Soc. Japan, 30(1978), 179--213 (with Keiichi Watanabe ) .
108. Invariant subrings under the action by a finite group generated by pseudo-reflections, Osaka J. Math., 15(1978), 47--50 .
109. The structure of one-dimensional \$F\$-pure rings, J. Algebra, 49(1977), 415--421 (with Keiichi Watanabe ) .
110. On affine semigroup rings, Japan. J. Math. (N.S.), 2(1976), 1--12 (with Naoyoshi Suzuki, Keiichi Watanabe ) .
111. A problem on Noetherian local rings of characteristic \$p\$, Proc. Amer. Math. Soc., 64(1977), 199--205 .
112. The divisor class group of a certain Krull domain, J. Math. Kyoto Univ., 17(1977), 47--50 .
113. The Veronesean subrings of Gorenstein rings, J. Math. Kyoto Univ., 16(1976), 51--55 .
114. On the type of graded Cohen-Macaulay rings, J. Math. Kyoto Univ., 15(1975), 19--23 (with Yoichi Aoyama ) .
115. When do the determinantal ideals define Gorenstein rings?, Sci. Rep. Tokyo Kyoiku Daigaku Sect. A, 12(1974), 129--145 .
116. Note on the existence of Gorenstein modules, Sci. Rep. Tokyo Kyoiku Daigaku Sect. A, 12(1973), 33--35 .
117. On modules without \$q\$-torsion, Sci. Rep. Tokyo Kyoiku Daigaku Sect. A, 11(1972), 139--142 .