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E. Hashemi
Compatible ideals and radicals of Ore extensions
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| Published: |
October 16, 2006
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| Keywords: |
α-compatible rings, Ore extensions, skew power series, α-rigid rings, prime and upper nil radicals |
| Subject: |
primary 16W20, 16N40, 16S36, secondary 16W60. |
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Abstract
For a ring endomorphism α and an α-derivation
δ, we introduce α-compatible ideals which are a
generalization of α-rigid ideals and study the connections
of the prime radical and the upper nil radical of R with the
prime radical and the upper nil radical of the Ore extension R[x;α,δ] and
the skew power series R[[x;α]]. As a consequence we obtain
a generalization of Hong, Kwak and Rizvi, 2005.
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| Author information
Department of Mathematics, Shahrood University of Technology, Shahrood, Iran, P.O.Box: 316-3619995161
eb_hashemi@yahoo.com or
eb_hashemi@shahrood.ac.ir
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