Structures determined by prime ideals of rings of functions

Structures determined by prime ideals of rings of functions
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Trans. Amer. Math. Soc. 147 (1970), 367-380

DOI: https://doi.org/10.1090/S0002-9947-1970-0256174-4

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References

Éléments de mathématiques

Algèbre commutative

Localisation

36

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Leonard Gillman and Meyer Jerison, Rings of continuous functions, The University Series in Higher Mathematics, D. Van Nostrand Co., Inc., Princeton, N.J.-Toronto-London-New York, 1960. MR 0116199
Leonard Gillman and Meyer Jerison, Quotient fields of residue class rings of function rings, Illinois J. Math. 4 (1960), 425–436. MR 124727

and $z$-embedding

M. Henriksen and M. Jerison, The space of minimal prime ideals of a commutative ring, Trans. Amer. Math. Soc. 115 (1965), 110–130. MR 194880, DOI 10.1090/S0002-9947-1965-0194880-9
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Joseph Kist, Minimal prime ideals in commutative semigroups, Proc. London Math. Soc. (3) 13 (1963), 31–50. MR 143837, DOI 10.1112/plms/s3-13.1.31
Joseph Kist, Compact spaces of minimal prime ideals, Math. Z. 111 (1969), 151–158. MR 245566, DOI 10.1007/BF01111196
Mark Mandelker, Prime $z$-ideal structure of $C$(R), Fund. Math. 63 (1968), 145–166. MR 234272, DOI 10.4064/fm-63-2-145-166
Mark Mandelker, Prime ideal structure of rings of bounded continuous functions, Proc. Amer. Math. Soc. 19 (1968), 1432–1438. MR 231206, DOI 10.1090/S0002-9939-1968-0231206-4
Mark Mandelker, $F^{\prime }$-spaces and $z$-embedded subspaces, Pacific J. Math. 28 (1969), 615–621. MR 240782

Structures determined by the prime ideals of rings of continuous functions