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Projective modules and prime submodules

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Abstract

In this paper, we use Zorn’s Lemma, multiplicatively closed subsets and saturated closed subsets for the following two topics

(i) The existence of prime submodules in some cases

(ii) The proof that submodules with a certain property satisfy the radical formula.

We also give a partial characterization of a submodule of a projective module which satisfies the prime property.

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Authors and Affiliations

  1. Dept of Mathematics, Akdeniz University, 07058, Antalya, Turkey

    Mustafa Alkan

  2. Dept of Mathematics, Hacettepe University, 06532, Beytepe Ankara, Turkey

    Yücel Tiraş

Authors
  1. Mustafa Alkan
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  2. Yücel Tiraş
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Alkan, M., Tiraş, Y. Projective modules and prime submodules. Czech Math J 56, 601–611 (2006). https://doi.org/10.1007/s10587-006-0041-5

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  • DOI: https://doi.org/10.1007/s10587-006-0041-5

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