The equality I 2 = Q I in Buchsbaum rings

Shiro Goto; Hideto Sakurai

Rendiconti del Seminario Matematico della Università di Padova (2003)

  • Volume: 110, page 25-56
  • ISSN: 0041-8994

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Goto, Shiro, and Sakurai, Hideto. "The equality $I^2=QI$ in Buchsbaum rings." Rendiconti del Seminario Matematico della Università di Padova 110 (2003): 25-56. <http://eudml.org/doc/108618>.

@article{Goto2003,
author = {Goto, Shiro, Sakurai, Hideto},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
language = {eng},
pages = {25-56},
publisher = {Seminario Matematico of the University of Padua},
title = {The equality $I^2=QI$ in Buchsbaum rings},
url = {http://eudml.org/doc/108618},
volume = {110},
year = {2003},
}

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
PB - Seminario Matematico of the University of Padua
VL - 110
SP - 25
EP - 56
LA - eng
UR - http://eudml.org/doc/108618
ER -

References

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  3. [CP] A. CORSO - C. POLINI, Links of prime ideals and their Rees algebras, J. Alg., 178 (1995), pp. 224-238. Zbl0848.13015MR1358263
  4. [CPV] A. CORSO - C. POLINI - W. V. VASCONCELOS, Links of prime ideals, Math. Proc. Camb. Phil. Soc., 115 (1994), pp. 431-436. Zbl0811.13003MR1269930
  5. [CST] N. T. CUONG - P. SCHENZEL - N. V. TRUNG, Verallgemeinerte CohenMacaulay-Moduln, M. Nachr., 85 (1978), pp. 57-73. Zbl0398.13014MR517641
  6. [G1] S. GOTO, On Buchsbaum rings, J. Alg., 67 (1980), pp.272-279. Zbl0473.13009MR602063
  7. [G2] S. GOTO, On the associated graded rings of parameter ideals in Buchsbaum rings, J. Algebra, 85 (1983), pp. 490-534. Zbl0529.13010MR725097
  8. [G3] S. GOTO, Integral closedness of complete-intersection ideals, J. Alg., 108 (1987), pp. 151-160. Zbl0629.13004MR887198
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  10. [GN] S. GOTO - K. NISHIDA, Hilbert coefficients and Buchsbaumness of associated graded rings, J. Pure and Appl. Alg., 181 (2003), pp. 61-74. Zbl1089.13515MR1971805
  11. [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). Zbl1102.13003MR2092942
  12. [GSu] S. GOTO - N. SUZUKI, Index of reducibility of parameter ideals in a local ring, J. Alg., 87 (1984), pp. 53-88. Zbl0538.13003MR736769
  13. [H] C. HUNEKE, The theory of d-sequences and powers of ideals, Ad. in Math., 46 (1982), pp. 249-279. Zbl0505.13004MR683201
  14. [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. Zbl0231.13009MR412177
  15. [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. Zbl0275.13028MR335504
  16. [SV2] J. STÜCKRAD - W. VOGEL, Buchsbaum rings and applications, Springer-Verlag, Berlin, New York, Tokyo, 1986. Zbl0606.13018MR881220
  17. [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. Zbl0982.13001MR1743648
  18. [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. Zbl1063.13018MR1900282

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