Strongly primeness of skew Hurwitz polynomial rings
Ali Shahidikia
TL;DR
This paper characterizes the conditions under which skew Hurwitz polynomial rings exhibit strong primeness on both the left and right sides, expanding understanding of their algebraic structure.
Contribution
It provides a new characterization of strong primeness in skew Hurwitz polynomial rings based on the properties of the base ring and the endomorphism.
Findings
Characterization of left strongly prime skew Hurwitz polynomial rings
Characterization of right strongly prime skew Hurwitz polynomial rings
Conditions linking base ring properties to primeness of the polynomial ring
Abstract
For a ring R and an endomorphism {\alpha} of R, we characterize the left and right strongly primeness of skew Hurwitz polynomial ring (hR, {\alpha}).
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Taxonomy
TopicsRings, Modules, and Algebras · Advanced Topics in Algebra · Advanced Differential Equations and Dynamical Systems