Keywords
- Prime Ideal
- Prime Ring
- Maximal Order
- Division Ring
- Valuation Ring
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Special references for Section IV
M. AUSLANDER, O. GOLDMAN, Maximal Orders, Trans. Amer. Math. Soc. 97 (1960), pp. 1–24.
G. AZYMAYA, On Maximally Central Algebras, Nagoya Math. J. 2 (1951), pp. 119–150.
I.G. CONNELL, A Natural Transform of the Spec Functor, J. of Algebra 10 (1968), pp. 69–91.
M. DEURING, Algebren, Ergebnisse der Mathematik und ihrer Grenzgebiete, vol. 41, Springer Verlag 1968.
I.N. HERSTEIN, Noncommutative Rings, The Carus Math. Monographs 15, Math. Assoc. Amer. 1968.
F. VAN OYSTAEYEN, On Pseudo-places of Algebras, Bull. Soc. Math. Belg., XXV, 1973, pp. 139.
F. VAN OYSTAEYEN, Generic Division Algebras, Bull. Soc. Math. Belg., XXV, 1973, pp. 259–285.
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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