Intro to Abstract Math
A field of fractions is a construction that takes an integral domain and creates a field where every element can be expressed as a fraction of two elements from the original domain. This concept allows for the division of non-zero elements, making it possible to perform arithmetic operations more freely, similar to how rational numbers are formed from integers. The field of fractions is essential because it provides a way to handle elements in a way that respects their algebraic properties, especially when considering solutions to polynomial equations.
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