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On the embedding of an order into a maximal order

Part of the Lecture Notes in Mathematics book series (LNM,volume 353)

Keywords

  • Prime Ideal
  • Maximal Order
  • Division Ring
  • Residue Class
  • Primitive Idempotent

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References

  1. H. Benz and H. Zassenhaus, Untersuchungen zur Arithmetik in lokalen einfachen Algebren, 1969–72 (unpublished).

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  2. E. R. Berlekamp, On the factorization of polynomials over finite fields, Bell Telephone Laboratories, Inc., Murrary Hill, N. J. (1967).

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  3. Horst Kempfert, On the factorization of polynomials, Journal of Number Theory 1 (1969), 116–120.

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  4. Hans Zassenhaus, Über eine Verallgemeinerung des Henselschen Lemmas, Arch. Math. 5 (1954), 317–325.

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  5. _____, Über die Fundamental konstruktionen der endlichen Körpertheorie, Jahresbericht der DMV 70 (1968), 177–181.

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  7. _____, On the Second Round of the Maximal Order Program: Applications of Number Theory to Numerical Analysis, Academic Press, New York and London 1972, 389–432.

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© 1973 Springer-Verlag

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Zassenhaus, H. (1973). On the embedding of an order into a maximal order. In: Proceedings of the Conference on Orders, Group Rings and Related Topics. Lecture Notes in Mathematics, vol 353. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0059271

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  • DOI: https://doi.org/10.1007/BFb0059271

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-06518-0

  • Online ISBN: 978-3-540-37818-1

  • eBook Packages: Springer Book Archive