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Primes in algebras over fields

Part of the Lecture Notes in Mathematics book series (LNM,volume 444)

Keywords

  • Prime Ideal
  • Prime Ring
  • Maximal Order
  • Division Ring
  • Valuation Ring

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Special references for Section IV

  1. M. AUSLANDER, O. GOLDMAN, Maximal Orders, Trans. Amer. Math. Soc. 97 (1960), pp. 1–24.

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  2. G. AZYMAYA, On Maximally Central Algebras, Nagoya Math. J. 2 (1951), pp. 119–150.

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  3. I.G. CONNELL, A Natural Transform of the Spec Functor, J. of Algebra 10 (1968), pp. 69–91.

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  4. M. DEURING, Algebren, Ergebnisse der Mathematik und ihrer Grenzgebiete, vol. 41, Springer Verlag 1968.

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  5. I.N. HERSTEIN, Noncommutative Rings, The Carus Math. Monographs 15, Math. Assoc. Amer. 1968.

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  6. F. VAN OYSTAEYEN, On Pseudo-places of Algebras, Bull. Soc. Math. Belg., XXV, 1973, pp. 139.

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  7. F. VAN OYSTAEYEN, Generic Division Algebras, Bull. Soc. Math. Belg., XXV, 1973, pp. 259–285.

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  8. F. VAN OYSTAEYEN, Primes in Algebras over Fields, J. Pure Applied Algebra, to appear.

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© 1975 Springer-Verlag

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van Oystaeyen, F.M.J. (1975). Primes in algebras over fields. In: Prime Spectra in Non-Commutative Algebra. Lecture Notes in Mathematics, vol 444. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0068139

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  • DOI: https://doi.org/10.1007/BFb0068139

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-07146-4

  • Online ISBN: 978-3-540-37438-1

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