Factorization in commutative rings with zero divisors, III
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, cilt.31, sa.1, ss.1-21, 2001 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 31 Sayı: 1
- Basım Tarihi: 2001
- Doi Numarası: 10.1216/rmjm/1008959664
- Dergi Adı: ROCKY MOUNTAIN JOURNAL OF MATHEMATICS
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.1-21
- Yıldız Teknik Üniversitesi Adresli: Evet
Özet
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).