Completely prime one-sided ideals in skew polynomial rings

G. I.L. Alon; Elad Paran

doi:10.1017/S0017089520000634

Completely prime one-sided ideals in skew polynomial rings

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

Let R = K[x, σ] be the skew polynomial ring over a field K, where σ is an automorphism of K of finite order. We show that prime elements in R correspond to completely prime one-sided ideals - a notion introduced by Reyes in 2010. This extends the natural correspondence between prime elements and prime ideals in commutative polynomial rings.

Original language	English
Pages (from-to)	114-121
Number of pages	8
Journal	Glasgow Mathematical Journal
Volume	64
Issue number	1
DOIs	https://doi.org/10.1017/S0017089520000634
State	Published - 3 Jan 2022

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Completely prime one-sided ideals in skew polynomial rings

Abstract

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