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COMPLETELY PRIME ONE-SIDED IDEALS IN SKEW POLYNOMIAL RINGS
Published online by Cambridge University Press: 03 February 2021
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.
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- © The Author(s) 2021. Published by Cambridge University Press on behalf of Glasgow Mathematical Journal Trust
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