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ON RINGS IN WHICH EVERY IDEAL IS WEAKLY PRIME
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 Title & Authors
ON RINGS IN WHICH EVERY IDEAL IS WEAKLY PRIME
Hirano, Yasuyuki; Poon, Edward; Tsutsui, Hisaya;
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 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;
 Language
English
 Cited by
 References
1.
D. D. Anderson and E. Smith, Weakly prime ideals, Houston J. Math. 29 (2003), no. 4, 831-840.

2.
W. D. Blair and H. Tsutsui, Fully prime rings, Comm. Algebra 22 (1994), no. 13, 5389-5400. crossref(new window)

3.
K. Koh, On one sided ideals of a prime type, Proc. Amer. Math. Soc. 28 (1971), 321-329. crossref(new window)

4.
H. Tsutsui, Fully prime rings. II, Comm. Algebra 24 (1996), no. 9, 2981-2989. crossref(new window)