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Some criteria for solvability of systems of linear equations over modules

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Ring Theory

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1328))

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References

  1. N. Bourbaki: Elements of Mathematics, Commutative algebra. English translation, Herman Cie-Addison Wesley, Pub. Co. Paris Reading, Mass 1972.

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  2. P. Camion, L.S. Levy and H.B. Mann: "Linear equations over a commutative ring". J: Algebra 19, 1972, 432–446.

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  3. J.A. Hermida and T. Sánchez-Giralda: "Linear equations over commutative rings and determinantal ideals", J. Algebra Vol. 99, no 1, 1986.

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  4. H. Matsumura: "Commutative Algebra", Benjamin, 1970.

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  5. D.G. Northcott: Finite free resolutions, Cambridge University Press Cambridge 1976.

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  6. R.B. Warfield Jr.: Decomposibility of finitely presented modules, Proc. Amer. Math. Soc. 25, 1970, 167–172.

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  7. S. Wiegand: "Semilocal domains whose finitely generated modules are direct sums of cyclics", Proc. Amer. Math. Soc. 50, 1975, 73–76.

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Author information

Authors and Affiliations

  1. Departamento de Algebra Facultad de Ciencias, Universidad de Valladolid, 47005, Valladolid, Spain

    José A. Hermida & Tomás Sánchez-Giralda

Authors
  1. José A. Hermida
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  2. Tomás Sánchez-Giralda
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Jose Luis Bueso Pascual Jara Blas Torrecillas

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© 1988 Springer-Verlag

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Hermida, J.A., Sánchez-Giralda, T. (1988). Some criteria for solvability of systems of linear equations over modules. In: Bueso, J.L., Jara, P., Torrecillas, B. (eds) Ring Theory. Lecture Notes in Mathematics, vol 1328. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0100921

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  • DOI: https://doi.org/10.1007/BFb0100921

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-19474-3

  • Online ISBN: 978-3-540-39278-1

  • eBook Packages: Springer Book Archive

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