TL;DR
This paper investigates various algebraic properties of polynomial composites, such as ACCP, atomicity, and SR, and explores their relationships with Noetherian conditions and field extensions.
Contribution
It provides new insights into the algebraic structure of polynomial composites and their properties, expanding understanding of their behavior in different algebraic contexts.
Findings
Polynomial composites can satisfy ACCP, atomic, and SR properties.
Relationships between Noetherian polynomial composites and field extensions are established.
The study enhances the theoretical framework of polynomial composites in algebra.
Abstract
Polynomial composites were introduced by Anderson, Anderson, and Zafrullah. In this paper we study many different algebraic properties of polynomial composites like ACCP, atomic, SR property. We study relationships between Noetherian polynomial composites certain field extensions.
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Taxonomy
TopicsPolynomial and algebraic computation · Algebraic Geometry and Number Theory · Advanced Differential Equations and Dynamical Systems