Factorization in commutative rings with zero divisors, III

Ağargün A. G. , Anderson D., Valdes-Leon S.

ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, cilt.31, sa.1, ss.1-21, 2001 (SCI İndekslerine Giren Dergi) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 31 Konu: 1
  • Basım Tarihi: 2001
  • Doi Numarası: 10.1216/rmjm/1008959664
  • Dergi Adı: ROCKY MOUNTAIN JOURNAL OF MATHEMATICS
  • Sayfa Sayıları: ss.1-21

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).