A proof of van Douwen’s right ideal theorem
Authors:
Dennis E. Davenport and Neil Hindman
Journal:
Proc. Amer. Math. Soc. 113 (1991), 573-580
MSC:
Primary 54D35; Secondary 22A30, 54H11
DOI:
https://doi.org/10.1090/S0002-9939-1991-1057952-3
MathSciNet review:
1057952
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Abstract | References | Similar Articles | Additional Information
Abstract: In 1979 Eric K. van Douwen announced a powerful theorem about the Stone-Čech compactification of a discrete semigroup which he called The Right Ideal Theorem. Its proof, however, was lost with his untimely death. In this paper we present a proof of the theorem and a derivation of some of its corollaries.
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- Eric K. van Douwen, The Čech-Stone compactification of a discrete groupoid, Topology Appl. 39 (1991), no. 1, 43–60. MR 1103990, DOI https://doi.org/10.1016/0166-8641%2891%2990074-V
- Neil Hindman, The ideal structure of the space of $\kappa $-uniform ultrafilters on a discrete semigroup, Rocky Mountain J. Math. 16 (1986), no. 4, 685–701. MR 871030, DOI https://doi.org/10.1216/RMJ-1986-16-4-685
- Neil Hindman, Ultrafilters and combinatorial number theory, Number theory, Carbondale 1979 (Proc. Southern Illinois Conf., Southern Illinois Univ., Carbondale, Ill., 1979) Lecture Notes in Math., vol. 751, Springer, Berlin, 1979, pp. 119–184. MR 564927
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Additional Information
Keywords:
Right Ideal Theorem,
left-topological semigroup
Article copyright:
© Copyright 1991
American Mathematical Society
