The Minkowski Bound is a critical concept in algebraic number theory that provides a bound for the non-zero ideal classes in a number field. It essentially helps to determine the size of the class group, which consists of the equivalence classes of fractional ideals. The bound can be calculated using the discriminant of the number field and is instrumental in understanding the structure of the ring of integers and its integral basis, as well as facilitating calculations related to class numbers and ideal class groups.
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