期刊名称：International Journal of Mathematics and Mathematical Sciences
印刷版ISSN：0161-1712
电子版ISSN：1687-0425
出版年度：2003
卷号：2003
DOI：10.1155/S0161171203013097
出版社：Hindawi Publishing Corporation
摘要：We deal with Krull's intersection theorem on the ideals of a
commutative Noetherian ring in the fuzzy setting. We first
characterise products of finitely generated fuzzy ideals in terms
of fuzzy points. Then, we study the question of uniqueness and
existence of primary decompositions of fuzzy ideals. Finally, we
use such decompositions and a form of Nakayama's lemma to prove
the Krull intersection theorem. Fuzzy-points method on finitely
generated fuzzy ideals plays a central role in the proofs.
