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.
2010 MATHEMATICS SUBJECT CLASSIFICATION:
Acknowledgments
We thank the referee whose suggestions improved our paper. The first two authors are highly grateful to ASSMS, GC University, Lahore, Pakistan in supporting and facilitating this research. The third author gratefully acknowledges the warm hospitality of Abdus Salam School of Mathematical Sciences, GC University, Lahore during his visits in the period 2006–2016.