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.
Morphism of GroupsCovers the concept of morphism of groups, actions on sets, and automorphisms.
Affine VarietiesIntroduces affine varieties and covers morphisms between them and their coordinate rings.
Algebraic Varieties in Linear AlgebraExplores algebraic varieties in linear algebra, focusing on their nature, determinants, irreducibility, prime properties, and geometric representation theory.
Field of Rational FunctionsExplores the construction of the field of rational functions on a variety and its connection with local rings and dimensions.