Simultaneous idempotents in and finite sums and products in
Author:
Neil Hindman
Journal:
Proc. Amer. Math. Soc. 77 (1979), 150-154
MSC:
Primary 05A17; Secondary 10A45, 54D40
DOI:
https://doi.org/10.1090/S0002-9939-1979-0539649-3
MathSciNet review:
539649
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Abstract | References | Similar Articles | Additional Information
Abstract: The principal result is that there do not exist simultaneous multiplicative and additive idempotents in . Some consequences of the (already known) existence of multiplicative idempotents which are close to additive idempotents are also derived.
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Additional Information
DOI:
https://doi.org/10.1090/S0002-9939-1979-0539649-3
Keywords:
Idempotents,
ultrafilters,
partitions
Article copyright:
© Copyright 1979
American Mathematical Society