Factorization in commutative rings with zero divisors, III
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, vol.31, no.1, pp.1-21, 2001 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 31 Issue: 1
- Publication Date: 2001
- Doi Number: 10.1216/rmjm/1008959664
- Journal Name: ROCKY MOUNTAIN JOURNAL OF MATHEMATICS
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Page Numbers: pp.1-21
- Yıldız Technical University Affiliated: Yes
Abstract
Let R be a commutative ring with identity. We continue our study of factorization in commutative rings with zero divisors. In Section 2 we consider inert extensions and atomicity. In Section 3 we characterize the atomic rings in which almost all atoms are prime. In Section 4 we investigate bounded factorization rings (BFR's) and U-BFR's, and in Section 5 we study finite factorization rings (FFR's).