Radical ideals and coherent frames

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Radical ideals and coherent frames. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 37 (1996), issue 2, pp. 349-370

MSC: 03E25, 06D05, 13A10, 13A15, 18B99, 54D80, 54H10, 54H99 | MR 1399006 | Zbl 0853.06014

Keywords:
coherent frame or locale; radical ideal; prime spectrum; spectral space; support on a ring; Boolean powers

Summary:

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References:

[1] Hochster M.: Prime ideal structure in commutative rings. Trans. Amer. Math. Soc. 142 (1969), 43-60. MR 0251026 | Zbl 0184.29401

[2] Hodges W.: Krull implies Zorn. J. London Math. Soc. 19 (1979), 285-287. MR 0533327 | Zbl 0394.03045

[3] Johnstone P.T.: Stone Spaces. Cambridge University Press, Cambridge, 1982. MR 0698074 | Zbl 0586.54001

[4] Vermeulen J.J.C.: A localic proof of Hochster's Theorem. unpublished draft, University of Cape Town, 1992.

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