[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/BKMS.2010.47.5.1077

ON RINGS IN WHICH EVERY IDEAL IS WEAKLY PRIME

Hirano, Yasuyuki (DEPARTMENT OF MATHEMATICS NARUTO UNIVERSITY OF EDUCATION)
Poon, Edward (DEPARTMENT OF MATHEMATICS EMBRY-RIDDLE AERONAUTICAL UNIVERSITY)
Tsutsui, Hisaya (DEPARTMENT OF MATHEMATICS EMBRY-RIDDLE AERONAUTICAL UNIVERSITY)

Publication Information

Bulletin of the Korean Mathematical Society / v.47, no.5, 2010 , pp. 1077-1087 More about this Journal

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;

Citations & Related Records

Times Cited By Web Of Science : 0 (Related Records In Web of Science)
Times Cited By SCOPUS : 1

Reference

1	K. Koh, On one sided ideals of a prime type, Proc. Amer. Math. Soc. 28 (1971), 321-329. DOI ScienceOn
2	H. Tsutsui, Fully prime rings. II, Comm. Algebra 24 (1996), no. 9, 2981-2989. DOI ScienceOn
3	D. D. Anderson and E. Smith, Weakly prime ideals, Houston J. Math. 29 (2003), no. 4, 831-840.
4	W. D. Blair and H. Tsutsui, Fully prime rings, Comm. Algebra 22 (1994), no. 13, 5389-5400. DOI ScienceOn