Authors: Farah, Ilijas 
Hindman, Neil
McLeod, Jillian
Title: Partition theorems for layered partial semigroups
Journal: Journal of Combinatorial Theory. Series A
Volume: 98
Issue: 2
First page: 268
Last page: 311
Issue Date: 1-Jan-2002
Rank: M22
ISSN: 0097-3165
DOI: 10.1006/jcta.2001.3237
Abstract: 
We introduce the notions of layered semigroups and partial semigroups, and prove some Ramsey type partition results about them. These results generalize previous results of Gowers, Furstenberg, and of Bergelson, Blass, and Hindman. We give some applications of these results (see, e.g., Theorem 1.1) and present examples suggesting that our results are rather optimal.
Publisher: Elsevier
Project: National Science Foundation (USA), Grants DMS-0070798 and DMS-0070593

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