For example, to me that sounds akin to, “You can always form a polynomial ring out of a base ring, and then create a quotient ring from an ideal in the polynomial ring. This can be rather useful when attempting to solve for algebraic varieties, by finding a Grobner basis, which is an ideal of the polynomial ring formed by either the field of real numbers or complex numbers (depending on application). Hence, there is a use for ring theory in solving varieties. Topology has some interesting applications as well, as one can define a topology by using the complements of varieties.”-someone in the internet probably.

All in all, it sounds very complicated. I am glad there are people who get it. (Sincere)