Bulletin of the Korean Mathematical Society (대한수학회보)
- Volume 34 Issue 1
- /
- Pages.35-42
- /
- 1997
- /
- 1015-8634(pISSN)
- /
- 2234-3016(eISSN)
On the cohen-macaulayness of the associated graded ring of an equimultiple ideal
- Kim, Mee-Kyoung (Department of Mathematics, Sung Kyun Kwan University, Suwan 440-746)
- Published : 1997.02.01
Abstract
Throughout this paper, all rings are assumed to be commutative with identity. By a local ring (R,m), we mean a Noetherian ring R which has a unique maximal ideal m. Let I be an ideal in a ring R and t an indeterminate over R.
File
References
- Proc. Cambridge Phill. Soc. v.72 Codimension and Analytic Spread L. Burch
- Math. Z. v.68 Graded Cohen-Macaulay rings associated to equimultiple ideals U. Grothe;M. Herrmann;U. Orbanz
- Pac. J. of Math. v.44 Five theorems on Macaulay rings M. Hochster;L. J. Ratliff
- J. Nat. Sci. Sung Kyun Kwan Univ. v.45 no.2 On the Cohen-Macaulay Property of Quotient Rings M.-K.Kim
- Cambridge Studies in Adanced Math. v.8 Commutative ring theory H.Matsumura
- Proc. Cambridge Phil. Soc. v.50 Reductions of ideals in local rings D. G. Northcott;D. Rees
- J. Math. Kyoto Univ. v.17 On the associated graded ring of a local Cohen-Macaulay ring J. D. Sally
- Comp. Math. v.40 Tangent Cones at Gorenstein Singularities J. D. Sally
- Ph. D. Thesis, Purdue Univ. Coefficients ideals of the Hilbert polynomial integral closures of parameter ideals K. Shah
- Nagoya Math. v.72 Form rings and regular sequence P. Valabrega;G. Valla