The theory of numbers is concerned with the properties of the integers, that is, the class of whole numbers and zero, 0, ±1,±2 .... We will denote the class of integers by ℤ. The positive integers, 1, 2, 3..., are called the natural numbers, which we will denote by ℕ. We will assume that the reader is familiar with the basic arithmetic properties of ℤ, and in this section we will look at the abstract algebraic properties of the integers and what makes ℤ unique as an algebraic structure.
KeywordsIntegral Domain Residue Class Primitive Root Chinese Remainder Theorem Multiplicative Inverse
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