Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)



Chains of idempotents in $ \beta\bold N$

Authors: Neil Hindman and Dona Strauss
Journal: Proc. Amer. Math. Soc. 123 (1995), 3881-3888
MSC: Primary 54D35; Secondary 22A15
MathSciNet review: 1301502
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Abstract: We show that any non-minimal idempotent in the semigroup $ (\beta \mathbb{N}, + )$ lies in a sequence of idempotents each smaller than its predecessor and each maximal among all idempotents smaller than its predecessor.

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Article copyright: © Copyright 1995 American Mathematical Society