Affine Algebraic SetsCovers affine algebraic sets, hypersurfaces, elliptic curves, ideals, and Noetherian rings in algebraic geometry.
Modern Algebraic GeometryCovers modern algebraic geometry, including algebraic sets, morphisms, and projective algebraic sets.
Irreducible Algebraic SetsExplores irreducible algebraic sets and their unique decomposition into components, with a focus on prime ideals and plane subsets classification.
Dimension of Algebraic VarietyExplores the dimension of algebraic varieties, including the (Krull)-dimension of rings and computing dimensions using tools from commutative algebra.
