شماره ركورد كنفرانس :
3502
عنوان مقاله :
Finitely Content Modules
Author/Authors :
H Fazaeli Moghimi Department of Mathematics - University of Birjand , J Bagheri Harehdashti University of Birjand , F Barzegar University of Birjand
كليدواژه :
Finitely content module , content module , invertible ideal
عنوان كنفرانس :
چهل و پنجمين كنفرانس رياضي ايران
چكيده لاتين :
Let R be a commutative ring with identity and M be a unitary R-module. We define M to be a
n
finitely content module if for each finite set {I1, · · · , In} of ideals of R, ( ∩ Iλ)M =
n
(IλM ). The class of
λ=1
content modules contains the class of finitely content modules properly. It is shown that that every module
over a Pru¨fer domain or a valuation ring is finitely content.
