Ramsey theory in noncommutative semigroups-Reference-Cited by-同舟云学术

Ramsey theory in noncommutative semigroups

Published:1992 Issue:1 Volume:330 Page:433-446
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Bergelson Vitaly,Hindman Neil

Abstract

By utilizing ultrafilters we give a general version of the Central Sets Theorem [ 6 6 , Proposition 8.21]. This enables us to derive noncommutative versions of van der Waerden’s Theorem and several of its generalizations. We also derive some standard results, including the Hales-Jewett Theorem.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/tran/1992-330-01/S0002-9947-1992-1069744-5/S0002-9947-1992-1069744-5.pdf

Reference15 articles.

1. An algebraic proof of van der Waerden’s theorem;Bergelson, Vitaly;Enseign. Math. (2),1989

2. Nonmetrizable topological dynamics and Ramsey theory;Bergelson, Vitaly;Trans. Amer. Math. Soc.,1990

3. A dual form of Ramsey’s theorem;Carlson, Timothy J.;Adv. in Math.,1984

4. Partitionen und lineare Gleichungssysteme;Deuber, Walter;Math. Z.,1973

Cited by 6 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. A history of central sets;Ergodic Theory and Dynamical Systems;2018-06-04

2. A generalized central sets theorem and applications;Topology and its Applications;2015-12

3. A new and simpler noncommutative central sets theorem;Topology and its Applications;2015-07

4. Partition Theorems for Layered Partial Semigroups;Journal of Combinatorial Theory, Series A;2002-05

5. Points very close to the smallest ideal of βS;Semigroup Forum;1994-12