Saturations of submodules with respect to subsets of a ring.

  • Javad Bagheri Harehdashti University of Birjand
  • Hosein Fazaeli Moghimi University of Birjand

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.

Biografía del autor

Javad Bagheri Harehdashti, University of Birjand
Department of Mathematics.
Hosein Fazaeli Moghimi, University of Birjand
Department of Mathematics.

Citas

I. Kaplansky, Commutative Rings.The University of Chicago Press, (1974).

C. P. Lu, Saturations of submodules, Comm. Algebra 31(6), pp. 2655-2673, (2003).

C. P. Lu, A module whose prime spectrum has the surjective natural map, Houston J. Math. 33 (1), pp. 125-143, (2007).

Publicado
2018-06-06
Cómo citar
[1]
J. Bagheri Harehdashti y H. Fazaeli Moghimi, «Saturations of submodules with respect to subsets of a ring»., PJM, vol. 37, n.º 2, pp. 213-221, jun. 2018.
Sección
Artículos