The equality I 2 =QI in Buchsbaum rings
Rendiconti del Seminario Matematico della Università di Padova, Tome 110 (2003), pp. 25-56 
@article{RSMUP_2003__110__25_0,
     author = {Goto, Shiro and Sakurai, Hideto},
     title = {The equality $I^2=QI$ in {Buchsbaum} rings},
     journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
     pages = {25--56},
     year = {2003},
     publisher = {Seminario Matematico of the University of Padua},
     volume = {110},
     mrnumber = {2033000},
     zbl = {1167.13302},
     language = {en},
     url = {https://www.numdam.org/item/RSMUP_2003__110__25_0/}
}
TY  - JOUR
AU  - Goto, Shiro
AU  - Sakurai, Hideto
TI  - The equality $I^2=QI$ in Buchsbaum rings
JO  - Rendiconti del Seminario Matematico della Università di Padova
PY  - 2003
SP  - 25
EP  - 56
VL  - 110
PB  - Seminario Matematico of the University of Padua
UR  - https://www.numdam.org/item/RSMUP_2003__110__25_0/
LA  - en
ID  - RSMUP_2003__110__25_0
ER  - 
%0 Journal Article
%A Goto, Shiro
%A Sakurai, Hideto
%T The equality $I^2=QI$ in Buchsbaum rings
%J Rendiconti del Seminario Matematico della Università di Padova
%D 2003
%P 25-56
%V 110
%I Seminario Matematico of the University of Padua
%U https://www.numdam.org/item/RSMUP_2003__110__25_0/
%G en
%F RSMUP_2003__110__25_0
Goto, Shiro; Sakurai, Hideto. The equality $I^2=QI$ in Buchsbaum rings. Rendiconti del Seminario Matematico della Università di Padova, Tome 110 (2003), pp. 25-56. https://www.numdam.org/item/RSMUP_2003__110__25_0/

[C] N. T. Cuong, P-standard systems of parameters and p-standard ideals in local rings, Acta. Math. Vietnamica, 20 (1995), pp. 145-161. | Zbl | MR

[CHV] A. Corso - C. Huneke - W. V. Vasconcelos, On the integral closure of ideals, manuscripts math., 95 (1998), pp. 331-347. | Zbl | MR

[CP] A. Corso - C. Polini, Links of prime ideals and their Rees algebras, J. Alg., 178 (1995), pp. 224-238. | Zbl | MR

[CPV] A. Corso - C. Polini - W. V. Vasconcelos, Links of prime ideals, Math. Proc. Camb. Phil. Soc., 115 (1994), pp. 431-436. | Zbl | MR

[CST] N. T. Cuong - P. Schenzel - N. V. Trung, Verallgemeinerte CohenMacaulay-Moduln, M. Nachr., 85 (1978), pp. 57-73. | Zbl | MR

[G1] S. Goto, On Buchsbaum rings, J. Alg., 67 (1980), pp.272-279. | Zbl | MR

[G2] S. Goto, On the associated graded rings of parameter ideals in Buchsbaum rings, J. Algebra, 85 (1983), pp. 490-534. | Zbl | MR

[G3] S. Goto, Integral closedness of complete-intersection ideals, J. Alg., 108 (1987), pp. 151-160. | Zbl | MR

[GH] S. Goto - F. Hayasaka, Finite homological dimension and primes associated to integrally closed ideals II, J. Math. Kyoto Univ., 42-4 (2002), pp. 631-639. | Zbl | MR

[GN] S. Goto - K. Nishida, Hilbert coefficients and Buchsbaumness of associated graded rings, J. Pure and Appl. Alg., 181 (2003), pp. 61-74. | Zbl | MR

[GSa] S. Goto - H. Sakurai, The reduction exponent of socle ideals associated to parameter ideals in a Buchsbaum local ring of multiplicity two, J. Math. Soc. Japan (to appear). | Zbl | MR

[GSu] S. Goto - N. Suzuki, Index of reducibility of parameter ideals in a local ring, J. Alg., 87 (1984), pp. 53-88. | Zbl | MR

[H] C. Huneke, The theory of d-sequences and powers of ideals, Ad. in Math., 46 (1982), pp. 249-279. | Zbl | MR

[HK] J. Herzog - E. Kunz (EDS.), Der kanonische Modul eines CohenMacaulay-Rings, Lecture Notes in Math., vol. 238, Springer-Verlag, Berlin, Heidelberg, New York, Tokyo, 1971. | Zbl | MR

[SV1] J. Stückrad - W. Vogel, Eine Verallgemeinerung der CohenMacaulay-Ringe und Anwendungen auf ein Problem der Multiplizitätstheorie, J. Math. Kyoto Univ., 13 (1973), pp. 513-528. | Zbl | MR

[SV2] J. Stückrad - W. Vogel, Buchsbaum rings and applications, Springer-Verlag, Berlin, New York, Tokyo, 1986. | Zbl | MR

[Y1] K. Yamagishi, The associated graded modules of Buchsbaum modules with respect to Y-primary ideals in the equi-I-invariant case, J. Alg., 225 (2000), pp. 1-27. | Zbl | MR

[Y2] K. Yamagishi, Buchsbaumness in Rees modules associated to ideals of minimal multiplicity in the equi-I-invariant case, J. Alg., 251 (2002), pp. 213-255. | Zbl | MR