Factorization in commutative rings with zero divisors, III

Citation
Ag. Agargun et al., Factorization in commutative rings with zero divisors, III, R MT J MATH, 31(1), 2001, pp. 1-21
Citations number
16
Categorie Soggetti
Mathematics
Journal title
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS
ISSN journal
00357596 → ACNP
Volume
31
Issue
1
Year of publication
2001
Pages
1 - 21
Database
ISI
SICI code
0035-7596(200121)31:1<1:FICRWZ>2.0.ZU;2-0
Abstract
Let R be a commutative ring with identity. We continue our study of factori zation in commutative rings with zero divisors. In Section 2 we consider in ert extensions and atomicity. In Section 3 we characterize the atomic rings in which almost all atoms are prime. In Section 4 we investigate bounded f actorization rings (BFR's) and U-BFR's, and in Section 5 we study finite fa ctorization rings (FFR's).