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On constant Armendariz rings

descriptionPublicationkeyboard_double_arrow_right Article 22 Feb 2016 English Publisher:World Scientific Pub Co Pte LtJournal:Asian-European Journal of Mathematics, volume 9, page 1,650,023 (issn: 1793-5571, eissn: 1793-7183, Copyright policy )
Authors: M. M. Motamedi-Nezhad;

doi: 10.1142/s1793557116500236

On constant Armendariz rings

Abstract

Let [Formula: see text] be a ring equipped with an endomorphism [Formula: see text] and an [Formula: see text]-derivation [Formula: see text]. In this article, we study [Formula: see text]-constant Armendariz rings and radicals of the Ore extension [Formula: see text], in terms of a [Formula: see text]-constant Armendariz ring [Formula: see text] with an [Formula: see text]-condition, are determined. We prove that several properties transfer between [Formula: see text] and the Ore extension [Formula: see text], in case [Formula: see text] is [Formula: see text]-compatible [Formula: see text]-constant Armendariz.

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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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