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Original Articles

Strongly Irreducible Ideals and Truncated Valuations

Pages 1055-1087 | Received 05 May 2014, Published online: 09 Feb 2016

REFERENCES

  • Azizi, A. (2008). Strongly irreducible ideals. J. Austral. Math. Soc. 84:145–154.
  • Blair, R. L. (1953). Ideal lattices and the structure of rings. Trans AMS 75:136–153.
  • Bourbaki, N. (1964). Algèbre. Chapitres 6 et 7. Paris: Hermann.
  • Bourbaki, N. (1966). Algèbre commutative. Chapitres 1 et 2. Paris: Hermann.
  • Bourbaki, N. (1966). Algèbre commutative. Chapitres 3 et 4. Paris: Hermann.
  • Bourbaki, N. (1964). Algèbre commutative. Chapitres 5 et 6. Paris: Hermann.
  • Dickmann, M., Schwartz, N., Tressl, M. Spectral Spaces. New Monographs in Mathematics, Cambridge University Press (To appear).
  • Fuchs, L. (1949). Über die Ideale arithmetischer ringe. Comment. Math. Helv. 23:334–341.
  • Fuchs, L. (1950). On primal ideals. Proc. AMS 1:1–6.
  • Fuchs, L., Heinzer, W., Olberding, B. (2004). Commutative rings without finiteness conditions: Primal ideals. Trans. AMS 357:2771–2798.
  • Fuchs, L., Heinzer, W. Olberding B. (2006). Commutative rings without finiteness conditions: Completely irrdeucible ideals. Trans. AMS 358:3113–3131.
  • Gilmer, R. (1972). Multiplicative Ideal Theory. New York: Marcel Dekker.
  • Glaz, S. (1989). Commutative Coherent Rings. Berlin: Springer.
  • Glaz, S. (2000). Finite conductor rings. Proc. AMS 129:2833–2843.
  • Heinzer, W. J., Ratcliff, L. J., Rush, D. E. (2002). Strongly irreducible ideals of a commutative ring. J. Pure Applied Algebra. 166:267–275.
  • Hochster, M. (1969). Prime ideal structure in commutative rings. Trans. AMS 142:43–60.
  • Huckaba, J. A. (1988). Commutative Rings with Zero Divisors. New York: Marcel Dekker.
  • Iseki, K. (1956). Ideal Theory of Semiring. Proc. Japan Acad. 32:554–559.
  • Jensen, C. U. (1966). Arithmetical rings. Acta Math. Acad. Sci. Hung. 17:115–123.
  • Knebusch, M., Zhang, D. (2002). Manis Valuations and Prüfer Extensions I. Berlin: Springer.
  • Krull, W. (1929). Idealtheorie in Ringen ohne Endlichkeitsbedingung. Math. Annalen. 101:729–744.
  • Kunz, E. (1980). Einführung in die kommutative Algebra und algebraische Geometrie. Braunschweig/Wiesbaden: Verlag Friedr, Vieweg & Sohn.
  • Matsumura, H. (1980). Commutative Algebra. Second edition. Reading Mass: Benjamin/Cummings.
  • Schwartz, N. (2009). Real closed valuation rings. Comm. in Alg. 37:3796–3814.
  • Schwartz, N., Madden, J. J. (1999). Semialgebraic Function Rigs and Reflectors of Partially Ordered Rings, Vol 1712, Berlin: Springer; Lecture Notes in Maths.
  • Zariski, O., Samuel, P. (1975). Commutative Algebra. I. New York: Springer.

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