A canonical version for partition regular systems of linear equations (Q1069938)

The author's summary: ''We prove a canonical (unrestricted) version of \textit{W. Deuber's} partition theorem for (m,p,c)-sets [Math. Z. 133, 109- 123 (1973; Zbl 0254.05011)]. This implies a canonical result for partition regular systems of linear equations studied by \textit{R. Rado} [Math. Z. 36, 424-480 (1933; Zbl 0006.14603)]. This is a common generalization of former results of \textit{P. Erdős} and \textit{R. Graham} [Old and new problems and results in combinatorial number theory (1980; Zbl 0434.10001)] concerning arithmetic progressions and of \textit{H. J. Prömel} and \textit{B. Voigt} [J. Comb. Theory, Ser. A 35, 309-327 (1983; Zbl 0547.05008)] concerning the so-called Rado-Folkman-Sanders theorem on finite sums.''