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<p>surface and a rigorous proof of the <a href="page.php?w=Riemann-Roch_theorem">Riemann-Roch theorem</a>. Kronecker in the 1880s, Hilbert in 1890, Lasker in 1905, and <a href="page.php?w=Francis_Sowerby_Macaulay">Macaulay</a> in 1913 further investigated the ideals of polynomial rings implicit in <a href="page.php?w=Emmy_Noether">E. Noether</a>'s work. Lasker proved a special case of the <a href="page.php?w=Lasker-Noether_theorem">Lasker-Noether theorem</a>, namely that every ideal in a polynomial ring is a finite intersection of <a href="page.php?w=primary_ideal">primary ideal</a>s.</p><p>
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