Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS

Remote Access
Green Open Access
Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)


Simultaneous idempotents in $ \beta \mathbf{N}_{\mathbf{N}}$ and finite sums and products in $ N$

Author: Neil Hindman
Journal: Proc. Amer. Math. Soc. 77 (1979), 150-154
MSC: Primary 05A17; Secondary 10A45, 54D40
MathSciNet review: 539649
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: The principal result is that there do not exist simultaneous multiplicative and additive idempotents in $ \beta N\backslash N$. Some consequences of the (already known) existence of multiplicative idempotents which are close to additive idempotents are also derived.

References [Enhancements On Off] (What's this?)

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 05A17, 10A45, 54D40

Retrieve articles in all journals with MSC: 05A17, 10A45, 54D40

Additional Information

PII: S 0002-9939(1979)0539649-3
Keywords: Idempotents, ultrafilters, partitions
Article copyright: © Copyright 1979 American Mathematical Society

Comments: Email Webmaster

© Copyright , American Mathematical Society
Contact Us · Sitemap · Privacy Statement

Connect with us Facebook Twitter Google+ LinkedIn Instagram RSS feeds Blogs YouTube Podcasts Wikipedia