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ALMOST ADJACENT IDEALS IN TWO-DIMENSIONAL MUHLY RATIONAL SINGULARITIES

V. VAN LIERDE

School of Science and Engineering, Al Akhawayn University, P. O. Box 1828, Ifrane 53000, Morocco

https://doi.org/10.1142/S0219498813501156Cited by:0 (Source: Crossref)

Abstract

Let (R, m) be a two-dimensional Muhly rational singularity, i.e. the residue field R/m is algebraically closed and the associated graded ring is an integrally closed domain. The goal of this paper is to use immediate quadratic transforms and degree coefficients to investigate complete ideals that are almost adjacent to m, i.e. .

Keywords:

AMSC: 13H05, 13H15

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