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http://hdl.handle.net/20.500.12358/25861
TitleCharacterization of Weakly Primary Ideals over Non-commutative Rings
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Abstract

In this paper, we introduce the concept of weakly primary ideals over non-commutative rings. Several results on weakly primary ideals over non-commutative rings are proved. We prove that a right (resp. left) weakly primary ideal P of a ring R that is not right (resp. left) primary satisfies P2= 0. We give useful characterization of weakly primary ideals over non-commutative rings with nonzero identities. We prove that every irreducible ideal of a right (resp. left) Noetherian ring R is right (resp. left) weakly primary ideal in R.

Authors
Ashour, Arwa E.
Hamoda, Mohammad
TypeJournal Article
Date2014
Subjects
weakly primary ideal
left weakly primary ideal
right weakly primary ideal
prime ideal
primary ideal
jacobson radical
Published inInternational Mathematical Forum
SeriesVolume: 9, Number: 34
PublisherHikari, Ltd.
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  • Staff Publications- Faculty of Science [1030]
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The institutional repository of the Islamic University of Gaza was established as part of the ROMOR project that has been co-funded with support from the European Commission under the ERASMUS + European programme. This publication reflects the views only of the author, and the Commission cannot be held responsible for any use which may be made of the information contained therein.

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The institutional repository of the Islamic University of Gaza was established as part of the ROMOR project that has been co-funded with support from the European Commission under the ERASMUS + European programme. This publication reflects the views only of the author, and the Commission cannot be held responsible for any use which may be made of the information contained therein.

Contact Us | Send Feedback