# 研究業績

## 研究論文

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