On rings in which every ideal is weakly prime
Bull. Korean Math. Soc. 2010 Vol. 47, No. 5, 1077-1087
https://doi.org/10.4134/BKMS.2010.47.5.1077
Published online September 1, 2010
Yasuyuki Hirano, Edward Poon, and Hisaya Tsutsui
Naruto University of Education, Embry-Riddle Aeronautical University, Embry-Riddle Aeronautical University
Abstract : 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.
Keywords : weakly prime
MSC numbers : 16N60, 16W99
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