Steps in Anderson-Badawis Conjecture on n-Absorbing and Strongly n-Absorbing Ideals
Matija Delic, Khalid Adarbeh
TL;DR
This paper addresses the Anderson-Badawi Conjecture concerning n-Absorbing and strongly n-Absorbing ideals in u-rings, extending known results to Prufer domains and providing new insights into their structure.
Contribution
It proves the Anderson-Badawi Conjecture for n-Absorbing ideals in u-rings and extends results to Prufer domains, advancing understanding of ideal structures.
Findings
Confirmed the conjecture for u-rings
Extended results to Prufer domains
Provided new characterizations of n-Absorbing ideals
Abstract
This article aims to solve positively Anderson-Badawi Conjecture of n-Absorbing and strongly n-absorbing ideals of commutative rings in the class of u-rings. The main result extends and recovers Anderson-Badawis related result on Prufer domains
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Taxonomy
TopicsRings, Modules, and Algebras · Algebraic structures and combinatorial models · Commutative Algebra and Its Applications