ON PRIME SUBMODULES

  • AZIZI, A. (Dept. of Mathematics, College of Science, Shiraz University) ;
  • SHARIF, H. (Dept. of Mathematics, College of Science, Shiraz University)
  • Received : 1997.12.16
  • Published : 1999.07.30

Abstract

The height of a prime submodule and a module version of the Krull dimension are studied.

Keywords

Prime submodules;weak multiplicatiobn modules;Envelope and radical of submodules;rank and dimension of modules

References

  1. Acta Math. Hungar. v.71 Rings satisfying the radical formula Sharifi, Y.;Sharif, H.;Namazi, S.
  2. Commutative Ring Theory Matsumura, H.
  3. Comm. Algebra v.23 On dimension of finitely generated modules Abu-Saemeh, S.
  4. Comm. Algebra v.22 A principal ideal theorem analogue for modules over commutative rings George, A.M.;McCasland, R.L.;Smith, P.F.
  5. Comment. Math. Univ. St. Paul v.33 no.1 Prime submodules of modules Lu, C.P.
  6. Comm. Algebra v.23 no.10 Spectra of modules Lu, C.P.
  7. Comm. Algebra v.20 no.6 Prime submodules McCasland, R.L.;Moore, M.E.
  8. Multiplicative Theory of Ideals Larsen, M.D.;McCarthy, P.J.