Saturations of submodules with respect to subsets of a ring.

• Bagheri Harehdashti, Javad ; Fazaeli Moghimi, Hosein ^[1]
  1. [1] University of Birjand

     University of Birjand

     Irán

     
• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 37, Nº. 2, 2018, págs. 213-221
• Idioma: inglés
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• Resumen

  • Let R be a commutative ring with identity and M a unital R-module. For any submodule N of M and non-empty subset T of R, let SMT (N)={m ∈ M : rm∈ N for some r ∈ R\T}. In this article we study conditions under which SMT  (N) is a submodule of M and investigate when it is a union of prime submodules.