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Prime and primary submodules of certain modules

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Abstract

In this paper we characterize all prime and primary submodules of the free R-module R n for a principal ideal domain R and find the minimal primary decomposition of any submodule of R n. In the case n = 2, we also determine the height of prime submodules.

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Authors and Affiliations

  1. Department of Mathematics, College of Science, Shiraz University, Shiraz, 71454, Iran

    A. Amini, B. Amini & H. Sharif

Authors
  1. A. Amini
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  2. B. Amini
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  3. H. Sharif
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Amini, A., Amini, B. & Sharif, H. Prime and primary submodules of certain modules. Czech Math J 56, 641–648 (2006). https://doi.org/10.1007/s10587-006-0044-2

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  • DOI: https://doi.org/10.1007/s10587-006-0044-2

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