Pacific Journal of Mathematics

The $p$-primes of a commutative ring.

K. G. Valente

Article information

Source
Pacific J. Math., Volume 126, Number 2 (1987), 385-400.

Dates
First available in Project Euclid: 8 December 2004

Permanent link to this document
https://projecteuclid.org/euclid.pjm/1102699810

Mathematical Reviews number (MathSciNet)
MR869785

Zentralblatt MATH identifier
0578.13003

Subjects
Primary: 12J10: Valued fields
Secondary: 12J15: Ordered fields

Citation

Valente, K. G. The $p$-primes of a commutative ring. Pacific J. Math. 126 (1987), no. 2, 385--400. https://projecteuclid.org/euclid.pjm/1102699810


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References

  • [1] I. Kaplansky, Maximal fields with valuation, I, Duke J. Math., 9 (1942),303-321.
  • [2] T.Y.Lam,AnIntroduction to Real Algebra, Lecture Notes, Sexta Escuela Latinoamericana de Matematicas, Oaxtepec, Mexico, 1982.
  • [3] S. MacLane, A constructionfor absolute values in polynomial rings, Trans. Amer. Math. Soc, 40 (1936), 363-395.
  • [4] M. Manis, Valuations on a commutative ring, Thesis, Univ. of Oregon, Eugene, Oregon, 1966.
  • [5] A. Prestal and P. Roquette, Formallyp-adic Fields, Lecture Notes in Math. No. 1050, Springer-Verlag, Berlin, 1980.
  • [6] O. F. G. Schilling, The Theory of Valuations, Math. Surveys No. IV, Amer. Math. Soc, New York, 1950.