module is just a formal abstraction/extension of linear algebra.
#math the concept of module is interesting.
long ago (maybe ~2005), i was thinking about linear algebra, trying to understand it abstractly. Geometrically, it's super intuitive. But abstractly, it's rather very complicated. You have this “field”, with + and * and other requirement, then, you have elements forming “vectors” as new element with its own +, then you have the “field” element merging with the “vector” element to form new “vector” by a special “scalar *”.
so, when you think of linear algebra this way, you are seeing a module.