Dimension of Algebraic Variety

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Explores the dimension theory of rings, focusing on chains of ideals and prime ideals.

Explores projective algebraic sets, prime ideals, irreducible sets, cones, and Nullstellensatz theorem.

Explores affine varieties, hypersurfaces, dimension in algebraic geometry, minimal prime ideals, and local properties of plane curves.

Explores affine algebraic varieties, emphasizing the Zariski Topology and regular functions.

Covers affine algebraic sets, hypersurfaces, elliptic curves, ideals, and Noetherian rings in algebraic geometry.

Explores Dedekind rings, integral extensions, and noetherian rings in algebraic structures.

Covers ideals, representations, modules, and maximal ideals in associative algebras.

Covers the interpretation and applications of symbolic powers in algebraic structures, focusing on Krull's Hauptideal Satz and Noetherian rings.

Covers primary decomposition in commutative rings and its application in prime ideals.

Explores prime ideals and localization in algebraic geometry, highlighting their significance in ring structures.