@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}, volume = {110}, year = {2003}, pages = {25-56}, mrnumber = {2033000}, zbl = {1167.13302}, language = {en}, url = {http://dml.mathdoc.fr/item/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. http://gdmltest.u-ga.fr/item/RSMUP_2003__110__25_0/
[C] P-standard systems of parameters and p-standard ideals in local rings, Acta. Math. Vietnamica, 20 (1995), pp. 145-161. | MR 1346354 | Zbl 0987.13014
,[CHV] On the integral closure of ideals, manuscripts math., 95 (1998), pp. 331-347. | MR 1612078 | Zbl 0902.13003
- - ,[CP] Links of prime ideals and their Rees algebras, J. Alg., 178 (1995), pp. 224-238. | MR 1358263 | Zbl 0848.13015
- ,[CPV] Links of prime ideals, Math. Proc. Camb. Phil. Soc., 115 (1994), pp. 431-436. | MR 1269930 | Zbl 0811.13003
- - ,[CST] Verallgemeinerte CohenMacaulay-Moduln, M. Nachr., 85 (1978), pp. 57-73. | MR 517641 | Zbl 0398.13014
- - ,[G1] On Buchsbaum rings, J. Alg., 67 (1980), pp.272-279. | MR 602063 | Zbl 0473.13009
,[G2] On the associated graded rings of parameter ideals in Buchsbaum rings, J. Algebra, 85 (1983), pp. 490-534. | MR 725097 | Zbl 0529.13010
,[G3] Integral closedness of complete-intersection ideals, J. Alg., 108 (1987), pp. 151-160. | MR 887198 | Zbl 0629.13004
,[GH] Finite homological dimension and primes associated to integrally closed ideals II, J. Math. Kyoto Univ., 42-4 (2002), pp. 631-639. | MR 1967051 | Zbl 1041.13018
- ,[GN] Hilbert coefficients and Buchsbaumness of associated graded rings, J. Pure and Appl. Alg., 181 (2003), pp. 61-74. | MR 1971805 | Zbl 1089.13515
- ,[GSa] The reduction exponent of socle ideals associated to parameter ideals in a Buchsbaum local ring of multiplicity two, J. Math. Soc. Japan (to appear). | MR 2092942 | Zbl 1102.13003
- ,[GSu] Index of reducibility of parameter ideals in a local ring, J. Alg., 87 (1984), pp. 53-88. | MR 736769 | Zbl 0538.13003
- ,[H] The theory of d-sequences and powers of ideals, Ad. in Math., 46 (1982), pp. 249-279. | MR 683201 | Zbl 0505.13004
,[HK] Der kanonische Modul eines CohenMacaulay-Rings, Lecture Notes in Math., vol. 238, Springer-Verlag, Berlin, Heidelberg, New York, Tokyo, 1971. | MR 412177 | Zbl 0231.13009
- (EDS.),[SV1] Eine Verallgemeinerung der CohenMacaulay-Ringe und Anwendungen auf ein Problem der Multiplizitätstheorie, J. Math. Kyoto Univ., 13 (1973), pp. 513-528. | MR 335504 | Zbl 0275.13028
- ,[SV2] Buchsbaum rings and applications, Springer-Verlag, Berlin, New York, Tokyo, 1986. | MR 881220 | Zbl 0606.13018
- ,[Y1] 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. | MR 1743648 | Zbl 0982.13001
,[Y2] Buchsbaumness in Rees modules associated to ideals of minimal multiplicity in the equi-I-invariant case, J. Alg., 251 (2002), pp. 213-255. | MR 1900282 | Zbl 1063.13018
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