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ON RINGS IN WHICH EVERY IDEAL IS WEAKLY PRIME

Anderson-Smith [1] studied weakly prime ideals for a commutative ring with identity. Blair-Tsutsui [2] studied the structure of a ring in which every ideal is prime. In this paper we investigate the structure of rings, not necessarily commutative, in which all ideals are weakly prime. KCI Citation C...

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Bibliographic Details
Published in:Taehan Suhakhoe hoebo 2010, 47(5), , pp.1077-1087
Main Authors: Hirano, Yasuyuki, Poon, Edward, Tsutsui, Hisaya
Format: Article
Language:English
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Summary:Anderson-Smith [1] studied weakly prime ideals for a commutative ring with identity. Blair-Tsutsui [2] studied the structure of a ring in which every ideal is prime. In this paper we investigate the structure of rings, not necessarily commutative, in which all ideals are weakly prime. KCI Citation Count: 3
ISSN:1015-8634
2234-3016
DOI:10.4134/BKMS.2010.47.5.1077