Prime ideal structure of rings of bounded continuous functions
HTML articles powered by AMS MathViewer
- by Mark Mandelker PDF
- Proc. Amer. Math. Soc. 19 (1968), 1432-1438 Request permission
References
- N. J. Fine and L. Gillman, Remote points in $\beta R$, Proc. Amer. Math. Soc. 13 (1962), 29β36. MR 143172, DOI 10.1090/S0002-9939-1962-0143172-5
- Leonard Gillman and Melvin Henriksen, Rings of continuous functions in which every finitely generated ideal is principal, Trans. Amer. Math. Soc. 82 (1956), 366β391. MR 78980, DOI 10.1090/S0002-9947-1956-0078980-4
- 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), 425β436. MR 124727 F. Hausdorff, Mengenlehre, 3rd ed., GΓΆschens Lehrbuch. 7, de Gruyter, Berlin, 1935.
- M. Henriksen and M. Jerison, The space of minimal prime ideals of a commutative ring, Trans. Amer. Math. Soc. 115 (1965), 110β130. MR 194880, DOI 10.1090/S0002-9947-1965-0194880-9
- Joseph Kist, Minimal prime ideals in commutative semigroups, Proc. London Math. Soc. (3) 13 (1963), 31β50. MR 143837, DOI 10.1112/plms/s3-13.1.31
- C. W. Kohls, Ideals in rings of continuous functions, Fund. Math. 45 (1957), 28β50. MR 102731, DOI 10.4064/fm-45-1-28-50
- Carl W. Kohls, Prime ideals in rings of continuous functions, Illinois J. Math. 2 (1958), 505β536. MR 102732
- Mark Mandelker, Prime $z$-ideal structure of $C$(R), Fund. Math. 63 (1968), 145β166. MR 234272, DOI 10.4064/fm-63-2-145-166
- Stelios Negrepontis, Absolute Baire sets, Proc. Amer. Math. Soc. 18 (1967), 691β694. MR 214031, DOI 10.1090/S0002-9939-1967-0214031-9
- Donald Plank, On a class of subalgebras of $C(X)$ with applications to $\beta XX$, Fund. Math. 64 (1969), 41β54. MR 244953, DOI 10.4064/fm-64-1-41-54
Additional Information
- © Copyright 1968 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 19 (1968), 1432-1438
- MSC: Primary 46.55
- DOI: https://doi.org/10.1090/S0002-9939-1968-0231206-4
- MathSciNet review: 0231206