Affine Algebraic SetsCovers affine algebraic sets, hypersurfaces, elliptic curves, ideals, and Noetherian rings in algebraic geometry.
Dimension of Algebraic VarietyExplores the dimension of algebraic varieties, including the (Krull)-dimension of rings and computing dimensions using tools from commutative algebra.
Rings and IdealsExplores rings, domains, fields, and ideals, with a focus on constructions and properties.
Dedekind Rings and Fractional IdealsExplores Dedekind rings, fractional ideals, integrally closed properties, prime ideal factorization, and the structure of fractional ideals as a commutative group.
Rings and FieldsExplores rings, fields, ideals, and their properties in algebraic structures.