SP-rings with zero-divisors
Malik Tusif Ahmed, Tiberiu Dumitrescu
TL;DR
This paper characterizes certain commutative rings where all ideals or regular ideals can be expressed as products of radical ideals, providing a structural understanding of these rings.
Contribution
It offers a new characterization of commutative rings with ideals that are products of radical ideals, focusing on rings with zero-divisors.
Findings
Identifies conditions for ideals to be products of radical ideals
Characterizes rings where regular ideals are products of radical ideals
Provides structural insights into rings with zero-divisors
Abstract
We characterize the commutative rings whose ideals (resp. regular ideals) are products of radical ideals.
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