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