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Effectively Computation of Some Radicals of Submodules of Free Modules

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Computer Algebra in Scientific Computing CASC’99

Abstract

A new characterization of the radical of a submodule is presented and it is applied to give a computational method for calculating some radicals of submodules of free modules. Two examples of this method are also included.

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References

  1. J. Jenkins and P. F. Smith, On the prime radical of a module over a commutative ring, Comm. Algebra 20(12) (1992), 3593–3602.

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  2. Chin-Pi Lu, M-radicals of submodules in modules, Math. Japonica 34, No. 2 (1989), 21–219.

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  3. Agustín Marcelo and J. Muñoz Masqué, Prime Submodules, the Descent Invariant, and Modules of Finite Length, J. Algebra 189 (1997), 273–293.

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  4. R. McCasland and M. Moore, On radicals of submodules of finitely generated modules, Canad. Math. Bull., 29 (1) (1986), 37–39.

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  5. —, On radicals of submodules, Comm. Algebra 19(5) (1991), 1327–1341.

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© 1999 Springer-Verlag Berlin Heidelberg

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Marcelo, A., Marcelo, F., Rodríguez, C. (1999). Effectively Computation of Some Radicals of Submodules of Free Modules. In: Ganzha, V.G., Mayr, E.W., Vorozhtsov, E.V. (eds) Computer Algebra in Scientific Computing CASC’99. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-60218-4_22

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  • DOI: https://doi.org/10.1007/978-3-642-60218-4_22

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-66047-7

  • Online ISBN: 978-3-642-60218-4

  • eBook Packages: Springer Book Archive

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