Commutative Rings with Two-Absorbing Factorization
arXiv:1701.02104 · doi:10.1080/00927872.2017.1332202
Abstract
We use the concept of 2-absorbing ideal introduced by Badawi to study those commutative rings in which every proper ideal is a product of 2-absorbing ideals (we call them TAF-rings). Any TAF-ring has dimension at most one and the local TAF-domains are the atomic pseudo-valuation domains.
9 Pages