What is Abstract Algebra? - Rings, Fields, Modules, Lattices, Vector Spaces, Algebras, and Galois Theory

References: Galois Theory - Wikipedia https://en.wikipedia.org/wiki/Galois_theory Commutative Ring - Wikipedia https://en.wikipedia.org/wiki/Commutative_ring Commutative Algebra - Wikipedia https://en.wikipedia.org/wiki/Commutative_algebra Commutative Property - Wikipedia https://en.wikipedia.org/wiki/Commutative_property Noncommutative Ring - Wikipedia https://en.wikipedia.org/wiki/Noncommutative_ring Glossary of Ring Theory - Wikipedia https://en.wikipedia.org/wiki/Glossary_of_ring_theory Field - Wikipedia https://en.wikipedia.org/wiki/Field_(mathematics) Module Fundamentals - University of Illinois at Urbana-Champaign https://faculty.math.illinois.edu/~r-ash/Algebra/Chapter4.pdf Linear Transformation (Linear Map) - Wikipedia https://en.wikipedia.org/wiki/Linear_map Vector Space - Wikipedia https://en.wikipedia.org/wiki/Vector_space Scalar - Wikipedia https://en.wikipedia.org/wiki/Scalar_(mathematics) Lattice (Order) - Wikipedia https://en.wikipedia.org/wiki/Lattice_(order) Lattice (Group) - Wikipedia https://en.wikipedia.org/wiki/Lattice_(group) Infimum and Supremum - Wikipedia https://en.wikipedia.org/wiki/Infimum_and_supremum Algebra Over a Field - Wikipedia https://en.wikipedia.org/wiki/Algebra_over_a_field Ring Theory - Wikipedia https://en.wikipedia.org/wiki/Ring_theory Ring - Wikipedia https://en.wikipedia.org/wiki/Ring_(mathematics)