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|Title||Characterization of Weakly Primary Ideals over Non-commutative Rings|
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.
|Published in||International Mathematical Forum|
|Series||Volume: 9, Number: 34|
|Item link||Item Link|
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|Ashour, Arwa E._8.pdf||77.80Kb|
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