New York Journal of Mathematics
Volume 17 (2011) 149-161

  

Dibyendu De and Ram Krishna Paul

Image partition regularity of matrices near 0 with real entries

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Published: March 2, 2011
Keywords: Ramsey Theory, Image partition regularity of matrices, Central set near zero, infinite matrices
Subject: 05D10, 22A15.

Abstract
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.

Acknowledgements

The second named author acknowledges support, received from the CSIR, India via Ph.D. grant


Author information

Dibyendu De:
Department of Mathematics, University of Kalyani, Kalyani-741235, West Bengal, India
dibyendude@klyuniv.ac.in

Ram Krishna Paul:
Department of Mathematics, Jadavpur University, Kolkata-32, West Bengal, India
rmkpaul@gmail.com