Covers affine algebraic sets, hypersurfaces, elliptic curves, ideals, and Noetherian rings in algebraic geometry.
Covers modern algebraic geometry, including algebraic sets, morphisms, and projective algebraic sets.
Explores irreducible algebraic sets and their unique decomposition into components, with a focus on prime ideals and plane subsets classification.
Explores the dimension of algebraic varieties, including the (Krull)-dimension of rings and computing dimensions using tools from commutative algebra.
Explores primary decomposition and schemes in algebraic geometry, emphasizing the importance of working over non-algebraically closed fields and the concept of fibers of morphisms.
Explores morphisms, regularity, varieties, local rings, and evaluation morphism in algebraic geometry.
