Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
권호 표지

ON RINGS WHOSE PRIME IDEALS ARE MAXIMAL

  • Published : 2000.02.01
Download PDF
⟨ Previous Next ⟩

Abstract

We investigate in this paper the maximality of prime ideals in rings whose simple singular left R-modules are p-injective.

Keywords

References

  1. Proc.Biennial Ohio State-Denison Conference Completely prime ideals and associated radicals G.F.Birkenmeier;H.F.Heatherly;E.K.Lee;S.K.Jain(ed);S.T.Rizvi(ed)
  2. Proc.Amer.Math.Soc. v.122 A connection between weak regularity and the simplicity of prime factor rings G.F.Birkenmeier;J.Y.Kim;J.K.Park
  3. J.Pure and Appl.Algebra v.115 Regularity conditions and the simplicity of prime factor rings
  4. Pacific J.Math v.54 no.1 On the von Neumann regularity of rings with regular prime factor rings J.W.Fisher;R.L.Snider
  5. Math. J. Okayama Univ. v.19 Weakly π-regular rings and grow rings V.Gupta
  6. Math.J.Okayama Univ. v.20 Some studies on strongly π-regular rings Y.Hirano
  7. Comn. in Algebra On von Neumann regular rings C.Y.Hong;J.Y.Kim;N.K.Kim
  8. J.Pure and Appl.Algebra On weak π-regularity of rings whose prime ideals are maximal C.Y.Hong;J.Y.Kim;N.K.Kim;Y.Lee
  9. Math. Japonica v.50 no.3 Minimal prime ideals in 2-primal rings N.K.Kim;T.K.Kwak
  10. Trans. Amer. Math. Soc. v.184 Prime idelas and sheaf representation of a pseudo symmetric ring G.Y.Shin
  11. Math. J. Okayama Univ. On s-unital rings.II H.Tominaga
  12. Math. Japonica v.19 On simple p-injective modules R.Yuechiming
  13. Math. Scand v.39 On von Neumann regular rings II