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)