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ON RINGS IN WHICH EVERY IDEAL IS WEAKLY PRIME
Hirano, Yasuyuki,Poon, Edward,Tsutsui, Hisaya Korean Mathematical Society 2010 대한수학회보 Vol.47 No.5
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.
ON RINGS IN WHICH EVERY IDEAL IS WEAKLY PRIME
Yasuyuki Hirano,Edward Poon,Hisaya Tsutsui 대한수학회 2010 대한수학회보 Vol.47 No.5
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.