Commutative Rings with Two-Absorbing Factorization
Commutative Algebra
2019-09-19 v1
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.
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Cite
@article{arxiv.1701.02104,
title = {Commutative Rings with Two-Absorbing Factorization},
author = {Muzammil Mukhtar and Malik Tusif Ahmed and Tiberiu Dumitrescu},
journal= {arXiv preprint arXiv:1701.02104},
year = {2019}
}
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9 Pages