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 -