Beiträge zur Algebra und Geometrie Contributions to Algebra and Geometry Vol. 50, No. 2, pp. 327336 (2009) 

On torsion free distributive modulesNaser ZamaniFaculty of Science, University of Mohaghegh Ardabili, P.O.box 179, Ardabil, Iran; email: naserzaka@yahoo.comAbstract: Let $R$ be a commutative ring with identity and let $M$ be a torsion free $R$module. Several characterizations of distributive modules are investigated. Indeed, among other equivalent conditions, we prove that $M$ is distributive if and only if any primal submodule of $M$ is irreducible, and, if and only if each submodule of $M$ can be represented as an intersection of irreducible isolated components. Keywords: distributive modules, associated primes Classification (MSC2000): 13C99 Full text of the article:
Electronic version published on: 28 Aug 2009. This page was last modified: 28 Jan 2013.
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