On quasi-Armendariz properties on skew polynomial rings

This paper deals with the quasi-Armendariz ring in general setting. We generalize the notions of quasi-Armendariz and α-skew Armendariz ring to quasi α-Armendariz and quasi α-skew Armendariz ring and investigate their properties. The notions of quasi α-Armendariz and quasi α-skew Armendariz rings ar...

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Bibliographic Details
Main Authors: Pourtaherian, Hamideh, Rakhimov, Isamiddin Sattarovich
Format: Conference or Workshop Item
Language:English
Published: AIP Publishing 2013
Online Access:http://psasir.upm.edu.my/id/eprint/57176/1/On%20quasi-Armendariz%20properties%20on%20skew%20polynomial%20rings.pdf
http://psasir.upm.edu.my/id/eprint/57176/
http://aip.scitation.org/doi/abs/10.1063/1.4823864
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Summary:This paper deals with the quasi-Armendariz ring in general setting. We generalize the notions of quasi-Armendariz and α-skew Armendariz ring to quasi α-Armendariz and quasi α-skew Armendariz ring and investigate their properties. The notions of quasi α-Armendariz and quasi α-skew Armendariz rings are useful in understanding the relationships between annihilators of rings R and R[x;α].