On generalized fraction and power series properties of $\mathcal{S}$-Noetherian rings
Xiaolei Zhang
TL;DR
This paper explores the generalized fraction and power series properties of $\
Contribution
It introduces new insights into the properties of $\
Findings
Characterizes generalized fraction properties in $\
Analyzes power series behavior in $\
Answers open questions from prior research
Abstract
In this note, we study the generalized fraction properties and power series properties of -Noetherian rings. Actually, we investigate two questions proposed in [A. Dabbabi, A. Benhissi, Generalization of the -Noetherian concept, {\it Arch. Math.} (Brno) \textbf{59}(4) (2023) 307-314.]
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Taxonomy
TopicsRings, Modules, and Algebras · Advanced Differential Equations and Dynamical Systems · Advanced Topics in Algebra