Please use this identifier to cite or link to this item:
http://hdl.handle.net/20.500.12358/25861
Title | Characterization of Weakly Primary Ideals over Non-commutative Rings |
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Untitled | |
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 | |
Type | Journal Article |
Date | 2014 |
Published in | International Mathematical Forum |
Series | Volume: 9, Number: 34 |
Publisher | Hikari, Ltd. |
Citation | |
Item link | Item Link |
License | ![]() |
Collections | |
Files in this item | ||
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Ashour, Arwa E._8.pdf | 77.80Kb |
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