algebraic set
101Morley rank — In mathematical logic, Morley rank, introduced by Michael D. Morley (1965), is a means of measuring the size of a subset of a model of a theory, generalizing the notion of dimension in algebraic geometry. Contents 1 Definition 2 Examples 3… …
102Mathematical singularity — In mathematics, a singularity is in general a point at which a given mathematical object is not defined, or a point of an exceptional set where it fails to be well behaved in some particular way, such as differentiability. See Singularity theory… …
103Hilbert's basis theorem — In mathematics, Hilbert s basis theorem states that every ideal in the ring of multivariate polynomials over a field is finitely generated. This can be translated into algebraic geometry as follows: every algebraic set over a field can be… …
104Hypersurface — For differential geometry usage, see glossary of differential geometry and topology. In geometry, a hypersurface is a generalization of the concept of hyperplane. Suppose an enveloping manifold M has n dimensions; then any submanifold of M of n − …
105Hyperplane section — In mathematics, a hyperplane section of a subset X of projective space P n is the intersection of X with some hyperplane H mdash; in other words we look at the subset X H of those elements x of X that satisfy the single linear condition L = 0… …
106Теорема Гильберта о нулях — (теорема Гильберта о корнях, во многих языках, в том числе иногда и в русском, часто используют изначальное немецкое название Nullstellensatz, что переводится как теорема о нулях ) теорема, устанавливающая фундаментальную связь между… …
107Ensemble algébrique — En géométrie algébrique, un ensemble algébrique est l ensemble des solutions d un systèmes d équations polynômiales à plusieurs variables. Ce sont les points d une variété algébrique affine ou projective. Ils servent de support intuitif à la… …
108Lasker–Noether theorem — In mathematics, the Lasker–Noether theorem states that every Noetherian ring is a Lasker ring, which means that every ideal can be written as an intersection of finitely many primary ideals (which are related to, but not quite the same as, powers …
109Differenzmenge — Die Mengenlehre ist ein grundlegendes Teilgebiet der Mathematik. Zahlreiche mathematische Disziplinen werden heute auf der Mengenlehre aufgebaut, darunter die Algebra, Analysis, Maßtheorie, Stochastik und Topologie. Inhaltsverzeichnis 1… …
110Durchschnitt (Mengentheorie) — Die Mengenlehre ist ein grundlegendes Teilgebiet der Mathematik. Zahlreiche mathematische Disziplinen werden heute auf der Mengenlehre aufgebaut, darunter die Algebra, Analysis, Maßtheorie, Stochastik und Topologie. Inhaltsverzeichnis 1… …
