TY - JOUR

T1 - Completely prime one-sided ideals in skew polynomial rings

AU - Alon, G. I.L.

AU - Paran, Elad

N1 - Publisher Copyright:
© 2022 Cambridge University Press. All rights reserved.

PY - 2022/1/3

Y1 - 2022/1/3

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=85100422893&partnerID=8YFLogxK

U2 - 10.1017/S0017089520000634

DO - 10.1017/S0017089520000634

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AN - SCOPUS:85100422893

SN - 0017-0895

VL - 64

SP - 114

EP - 121

JO - Glasgow Mathematical Journal

JF - Glasgow Mathematical Journal

IS - 1

ER -