On productive classes of function rings
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- by Paul Bankston PDF
- Proc. Amer. Math. Soc. 87 (1983), 11-14 Request permission
Abstract:
No nontrivial $P$-class ("$P$" for "productive") of rings of continuous real-valued functions can be category equivalent to any elementary $P$-class of finitary universal algebras.References
- B. Banaschewski, On categories of algebras equivalent to a variety, Algebra Universalis 16 (1983), no. 2, 264–267. MR 692271, DOI 10.1007/BF01191779 P. Bankston, Reduced coproducts in the category of compact Hausdorff spaces (to appear).
- Paul Bankston, Some obstacles to duality in topological algebra, Canadian J. Math. 34 (1982), no. 1, 80–90. MR 650854, DOI 10.4153/CJM-1982-008-6
- Paul Bankston and Ralph Fox, On categories of algebras equivalent to a quasivariety, Algebra Universalis 16 (1983), no. 2, 153–158. MR 692254, DOI 10.1007/BF01191762 C. Chang and H. J. Keisler, Model theory, North-Holland, Amsterdam, 1973.
- 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
Additional Information
- © Copyright 1983 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 87 (1983), 11-14
- MSC: Primary 03C20; Secondary 08C05, 18B99, 54C40
- DOI: https://doi.org/10.1090/S0002-9939-1983-0677220-4
- MathSciNet review: 677220