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Basic Abstract Algebra by S. K. Jain, S. R. Nagpaul, P. B. Bhattacharya

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CHAPTER 2

Integers, real numbers, and complex numbers

1 Integers

In this section we give some properties of integers that the reader will encounter throughout the book. We do not intend to give here an axiomatic development of this topic (we do this in Chapter 13); rather we assume our familiarity with addition, multiplication of integers, and the usual properties of these operations.

We first give some definitions and notation. An integer b is a factor or divisor of an integer a (or a is a multiple of b) if there exists an integer c such that a = bc. We say that b divides a and write b|a (images means b does not divide a). A nonzero integer p is ...

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