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    Prime submodules of multiplication modules and Cohen-Macaulay property
    (Maltepe Üniversitesi, 2009) Zamani, N.
    Let R be a multiplication commutative ring with nonzero identity and M be a unitary multiplication R-module. A characterization of certain prime submodules of M will be presented. Also we show that if R is Noetherian and M is ¯nitely generated, then M is Cohen-Macaulay R-module. As a consequence any multiplication Noetherian ring is Cohen-Macaulay.
  • Küçük Resim Yok
    Yayın
    Prime submodules of multiplication modules and cohen-macaulay property
    (Maltepe Üniversitesi, 2009) Zamani, N.
    Let R be a multiplication commutative ring with nonzero identity and M be a unitary multiplication R-module. A characterization of certain prime submodules of M will be presented. Also we show that if R is Noetherian and M is finitely generated, then M is Cohen-Macaulay R-module. As a consequence any multiplication Noetherian ring is Cohen-Macaulay.