De, Dibyendu; Paul, Ram Krishna Image partition regularity of matrices near 0 with real entries. (English) Zbl 1229.05262 New York J. Math. 17, 149-161 (2011). Summary: We prove that many of the known results regarding image partition regularity and image partition regularity near zero for finite and infinite matrices with rational or integer entries have natural analogues for matrices with real entries over the reals, extending work by N. Hindman. Cited in 6 Documents MSC: 05D10 Ramsey theory 05A18 Partitions of sets 22A15 Structure of topological semigroups Keywords:Ramsey theory; image partition regularity of matrices; central set near zero PDF BibTeX XML Cite \textit{D. De} and \textit{R. K. Paul}, New York J. Math. 17, 149--161 (2011; Zbl 1229.05262) Full Text: EuDML EMIS