On projective prime ideals in $C(X)$
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- by J. Glenn Brookshear
- Proc. Amer. Math. Soc. 69 (1978), 203-204
- DOI: https://doi.org/10.1090/S0002-9939-1978-0470929-5
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Abstract:
This note presents characterizations of the projective prime ideals in $C(X)$ and of the hereditary and semihereditary rings of continuous functions.References
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- J. Glenn Brookshear, Projective ideals in rings of continuous functions, Pacific J. Math. 71 (1977), no. 2, 313–333. MR 454908, DOI 10.2140/pjm.1977.71.313
- G. De Marco, On the countably generated $z$-ideals of $C(X)$, Proc. Amer. Math. Soc. 31 (1972), 574–576. MR 288563, DOI 10.1090/S0002-9939-1972-0288563-3 —, Projectivity of pure ideals (to appear).
- 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, DOI 10.1007/978-1-4615-7819-2
Bibliographic Information
- © Copyright 1978 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 69 (1978), 203-204
- MSC: Primary 54C40
- DOI: https://doi.org/10.1090/S0002-9939-1978-0470929-5
- MathSciNet review: 0470929