One sided ideals and Carlson's Theorem

Authors:
Neil Hindman and Randall McCutcheon

Journal:
Proc. Amer. Math. Soc. **130** (2002), 2559-2567

MSC (1991):
Primary 05D10; Secondary 22A15, 22A30, 54D30

Published electronically:
March 12, 2002

MathSciNet review:
1900862

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Abstract | References | Similar Articles | Additional Information

Abstract: Using left ideals, right ideals, and the smallest two sided ideal in a compact right topological semigroup, we derive an extension of the Main Lemma to Carlson's Theorem. This extension involves an infinite sequence of variable words over a finite alphabet, some of which are required to have the variable as the first letter and others of which are required to have the variable as the last letter.

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Additional Information

**Neil Hindman**

Affiliation:
Department of Mathematics, Howard University, Washington, DC 20059

Email:
nhindman@fac.howard.edu, nhindman@aol.com

**Randall McCutcheon**

Affiliation:
Department of Mathematical Sciences, University of Memphis, Memphis, Tennessee 38152

Email:
randall@msci.memphis.edu

DOI:
https://doi.org/10.1090/S0002-9939-02-06396-7

Received by editor(s):
October 16, 2000

Received by editor(s) in revised form:
April 19, 2001

Published electronically:
March 12, 2002

Additional Notes:
The first author acknowledges support received from the National Science Foundation (USA) via grant DMS-0070593

The second author acknowledges support received from the National Science Foundation via a post doctoral fellowship administered by the University of Maryland

Communicated by:
John R. Stembridge

Article copyright:
© Copyright 2002
American Mathematical Society