Geodesic
On a Maximality Property of Partition Regular Systems of Equations
Canadian mathematical bulletin, Tome 36 (1993) no. 1, pp. 96-102

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In this note we will study the following problem. For a given partition regular system of equations, which equations can be added to this system without introducing new variables, such that the new augmented system is again partition regular. It turns that the Hindman system on finite sums as well as the Deuber-Hindman system on finite sums of (m, p, c)-sets are maximal in this sense.
DOI : 10.4153/CMB-1993-014-2
Mots-clés : 05A99, Ramsey Theory, infinite sums, (m, p, c)-sets 
Lefmann, Hanno; Kaddour, Hamza Si. On a Maximality Property of Partition Regular Systems of Equations. Canadian mathematical bulletin, Tome 36 (1993) no. 1, pp. 96-102. doi: 10.4153/CMB-1993-014-2
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     journal = {Canadian mathematical bulletin},
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     year = {1993},
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     doi = {10.4153/CMB-1993-014-2},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1993-014-2/}
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