DOI QR코드

DOI QR Code

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)
  • 투고 : 2009.04.13
  • 심사 : 2009.10.01
  • 발행 : 2010.09.30

초록

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.

키워드

weakly prime

참고문헌

  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. https://doi.org/10.1080/00927879408825136
  3. K. Koh, On one sided ideals of a prime type, Proc. Amer. Math. Soc. 28 (1971), 321-329. https://doi.org/10.1090/S0002-9939-1971-0274488-5
  4. H. Tsutsui, Fully prime rings. II, Comm. Algebra 24 (1996), no. 9, 2981-2989. https://doi.org/10.1080/00927879608825725

피인용 문헌

  1. Almost prime submodules pp.1793-7183, 2018, https://doi.org/10.1142/S1793557120500199