Well-defined addition refers to the property that ensures the operation of addition produces consistent and unambiguous results within a given mathematical structure. In the context of modular arithmetic for polynomials, it means that the way we add polynomials remains clear and meaningful even when we consider them modulo a certain polynomial. This concept is crucial because it guarantees that operations yield the same result regardless of how representatives of equivalence classes are chosen.
congrats on reading the definition of Well-defined Addition. now let's actually learn it.