>>11030940You notice how you study different kinds of objects, but they always behave sort-of the same? For example: fractions, reals, complex numbers, square matrices are all associative, addition distributes over multiplication, there is a "1", there is a "0", etc.
Well, algebraic structures are just the formalization of being "sort-of the same" in some context. For example, groups exist mainly to formalize the idea of being "sort-of the same" as in "are associative, there is a 0 and you can divide".