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Factorization in commutative rings with zero divisors, III
Journal article   Open access  Peer reviewed

Factorization in commutative rings with zero divisors, III

Ahmet G Agargün, D. D Anderson and Silvia Valdes-Leon
The Rocky Mountain journal of mathematics, Vol.31(1), pp.1-21
2001
DOI: 10.1216/rmjm/1008959664
url
https://doi.org/10.1216/rmjm/1008959664View
Published (Version of record) Open Access

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).

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