Localization in AlgebraCovers the concept of localization in algebra, focusing on making a ring multiplicative closed.
Rings and ModulesCovers rings, modules, fields, minimal ideals, and the Nullstellensatz theorem.
Chinese Remainder TheoremExplores the Chinese remainder theorem in commutative rings and ideals, demonstrating its applications and relevance in finding unique solutions.
Cohomology: Cross ProductExplores cohomology and the cross product, demonstrating its application in group actions like conjugation.
Advanced Linear AlgebraCovers advanced topics in linear algebra, including finite fields, invertible matrices, and vector spaces.
Adelic Number TheoryExplores adelic number theory, emphasizing lattices, modules, linear combinations, and Z-linear properties.
