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Quotient rings and Fountain-Gould left orders by the local approach

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Abstract

We study Fountain-Gould left orders in semiprime rings coinciding with their socles by means of local rings at elements.

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References

  1. P. N. Ánh and L. Márki, Left orders in regular rings with minimum condition for principal one-sided ideals, Math. Proc. Camb. Phil. Soc., 109 (1991), 323–333.

    Google Scholar 

  2. P. N. Ánh and L. Márki, A general theory of Fountain-Gould quotient rings, Math. Slovaca, 44 (1994), 225–235.

    Google Scholar 

  3. J. Fountain and V. Gould, Orders in rings without identity, Commun. in Alg., 18 (1990), 3085–3110.

    Google Scholar 

  4. J. Fountain and V. Gould, Orders in regular rings with minimal condition for principal right ideals, Commun. in Alg., 19 (1991), 1501–1527.

    Google Scholar 

  5. T. Y. Lam, Lectures on Modules and Rings, Springer-Verlag (Berlin-Heidelberg-New York, 1999).

    Google Scholar 

  6. J. Lambek, Lectures on Rings and Modules, Chelsea Publishing Company (New York, N. Y., 1976).

    Google Scholar 

  7. B. Stenström, Rings of Quotients Vol 217, Springer-Verlag (Berlin-Heidelberg-New York, 1975).

    Google Scholar 

  8. F. A. Szász, Generalized biideals of rings, I, Math. Nachr., 47 (1970), 355–360.

    Google Scholar 

  9. Y. Utumi, On quotient rings, Osaka Math. Journal, 8 (1956), 1–18.

    Google Scholar 

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Authors and Affiliations

  1. Departamento de Álgebra Geometría y Topología, Universidad de Málaga, 29071, Málaga, EspaÑa

    Miguel Gómez Lozano & Mercedes Siles Molina

Authors
  1. Miguel Gómez Lozano
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  2. Mercedes Siles Molina
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Lozano, M.G., Molina, M.S. Quotient rings and Fountain-Gould left orders by the local approach. Acta Mathematica Hungarica 97, 287–301 (2002). https://doi.org/10.1023/A:1021609214797

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  • DOI: https://doi.org/10.1023/A:1021609214797

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