Note on radical and prime E-ideals
Antongiulio Fornasiero, Giuseppina Terzo
TL;DR
This paper investigates the properties of exponential polynomial rings, demonstrating they are not Noetherian with respect to prime E-ideals and providing a characterization of exponential radical ideals.
Contribution
It introduces a new understanding of the structure of exponential radical ideals and their behavior in exponential polynomial rings.
Findings
Exponential polynomial rings are not Noetherian with respect to prime E-ideals.
Provides a characterization of exponential radical ideals.
Highlights differences from classical polynomial ring properties.
Abstract
We show that the ring of exponential polynomials is not Noetherian even respect to prime E-ideals. Moreover we give a characterization of exponential radical ideals
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Taxonomy
TopicsRings, Modules, and Algebras · Commutative Algebra and Its Applications · Advanced Topics in Algebra