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<p>(The word "Ring", introduced later by <a href="page.php?w=David_Hilbert">Hilbert</a>, does not appear in Dedekind's work.) Dedekind defined an <a href="page.php?w=ring_ideal">ideal</a> as a subset of a set of numbers, composed of <a href="page.php?w=algebraic_integer">algebraic integer</a>s that satisfy polynomial equations with <a href="page.php?w=integer">integer</a> coefficients. The concept underwent further development in the hands of Hilbert and, especially, of <a href="page.php?w=Emmy_Noether">Emmy Noether</a>. Ideals generalize <a href="page.php?w=Ernst_Eduard_Kummer">Ernst Eduard Kummer</a>'s</p><p>
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