Let K be a field, S = K[x 1, … x n] be a polynomial ring in n variables over K and I ⊂ S be an ideal. We give a procedure to compute a prime filtration of S/I. We proceed as in the classical case by constructing an ascending chain of ideals of S starting from I and ending at S. The procedure of this paper is developed and has been implemented in the computer algebra system Singular.
@article{bwmeta1.element.doi-10_2478_s11533-009-0073-9,
author = {Asia Rauf},
title = {A procedure to compute prime filtration},
journal = {Open Mathematics},
volume = {8},
year = {2010},
pages = {26-31},
zbl = {1184.13068},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_s11533-009-0073-9}
}
Asia Rauf. A procedure to compute prime filtration. Open Mathematics, Tome 8 (2010) pp. 26-31. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_s11533-009-0073-9/
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