Anderson, D. D. A note on minimal prime ideals. (English) Zbl 0841.13001 Proc. Am. Math. Soc. 122, No. 1, 13-14 (1994). The aim of this very short note is to establish the following result: Let \(R\) be a commutative ring with identity, and \(I\neq R\) an ideal of \(R\). If every prime ideal minimal over \(I\) is finitely generated, then there are only finitely many prime ideals minimal over \(I\). Reviewer: T.Albu (Bucureşti) Cited in 5 ReviewsCited in 20 Documents MSC: 13A15 Ideals and multiplicative ideal theory in commutative rings 13F99 Arithmetic rings and other special commutative rings Keywords:minimal prime ideal × Cite Format Result Cite Review PDF Full Text: DOI References: [1] Irving Kaplansky, Commutative rings, Revised edition, The University of Chicago Press, Chicago, Ill.-London, 1974. · Zbl 0296.13001 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.