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Journal of the London Mathematical Society Advance Access published online on May 29, 2009
Journal of the London Mathematical Society, doi:10.1112/jlms/jdp017
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© 2009 London Mathematical Society

Factorization into prime and invertible ideals II

Bruce Olberding

Department of Mathematical Sciences
New Mexico State University
Las Cruces, NM 88003-8001
USA

We examine the commutative rings for which every proper ideal has a proper prime factor. Among this class of rings, we classify the rings for which every proper ideal is a product of invertible and prime ideals. This continues and corrects a classification begun in an earlier paper.

2000 Mathematics Subject Classification 13A15, 13F05.

Received December 4, 2007; revised December 16, 2008;
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