RAMSEY THEORY IN NONCOMMUTATIVE SEMIGROUPS

Authors
BERGELSON V HINDMAN N
Citation
V. Bergelson et N. Hindman, RAMSEY THEORY IN NONCOMMUTATIVE SEMIGROUPS, Transactions of the American Mathematical Society, 330(1), 1992, pp. 433-446
Citations number
15
Journal title
Transactions of the American Mathematical Society → ACNP
ISSN journal
00029947
Volume
330
Issue
1
Year of publication
1992
Pages
433 - 446
Database
ISI
SICI code
0002-9947(1992)330:1<433:RTINS>2.0.ZU;2-F
Abstract
By utilizing ultrafilters we give a general version of the Central Set s Theorem [6, Proposition 8.21]. This enables us to derive noncommutat ive versions of van der Waerden's Theorem and several of its generaliz ations. We also derive some standard results, including the Hales-Jewe tt Theorem.