On Classical Quotient Rings of Skew Armendariz Rings

Let R be a ring, α an automorphism, and δ an α-derivation of R. If the classical quotient ring Q of R exists, then R is weak α-skew Armendariz if and only if Q is weak α˜-skew Armendariz.

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Main Authors: A. R. Nasr-Isfahani, A. Moussavi
Format: Article
Language:English
Published: Wiley 2007-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/2007/61549
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author A. R. Nasr-Isfahani
A. Moussavi
author_facet A. R. Nasr-Isfahani
A. Moussavi
author_sort A. R. Nasr-Isfahani
collection DOAJ
description Let R be a ring, α an automorphism, and δ an α-derivation of R. If the classical quotient ring Q of R exists, then R is weak α-skew Armendariz if and only if Q is weak α˜-skew Armendariz.
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institution Kabale University
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1687-0425
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series International Journal of Mathematics and Mathematical Sciences
spelling doaj-art-b798952c96704b919b0979ffcdc984ad2025-02-03T01:09:44ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252007-01-01200710.1155/2007/6154961549On Classical Quotient Rings of Skew Armendariz RingsA. R. Nasr-Isfahani0A. Moussavi1Department of Mathematics, Tarbiat Modares University, P.O. Box 14115-170, Tehran, IranDepartment of Mathematics, Tarbiat Modares University, P.O. Box 14115-170, Tehran, IranLet R be a ring, α an automorphism, and δ an α-derivation of R. If the classical quotient ring Q of R exists, then R is weak α-skew Armendariz if and only if Q is weak α˜-skew Armendariz.http://dx.doi.org/10.1155/2007/61549
spellingShingle A. R. Nasr-Isfahani
A. Moussavi
On Classical Quotient Rings of Skew Armendariz Rings
International Journal of Mathematics and Mathematical Sciences
title On Classical Quotient Rings of Skew Armendariz Rings
title_full On Classical Quotient Rings of Skew Armendariz Rings
title_fullStr On Classical Quotient Rings of Skew Armendariz Rings
title_full_unstemmed On Classical Quotient Rings of Skew Armendariz Rings
title_short On Classical Quotient Rings of Skew Armendariz Rings
title_sort on classical quotient rings of skew armendariz rings
url http://dx.doi.org/10.1155/2007/61549
work_keys_str_mv AT arnasrisfahani onclassicalquotientringsofskewarmendarizrings
AT amoussavi onclassicalquotientringsofskewarmendarizrings