The paper asserts that for finite image partition regular matrices A and B, every finite coloring of N yields monochromatic AX, AX+BY, and A X · B Y for some vectors X and Y.
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Matrix Formulation of Moreira Theorem
The paper asserts that for finite image partition regular matrices A and B, every finite coloring of N yields monochromatic AX, AX+BY, and A X · B Y for some vectors X and Y.