Abstract
We will begin our study with a very concrete set of objects, the integers, that is, the set {0, 1, −1, 2, −2, ...}. This set is traditionally denoted ℤ and is very familiar to us-in fact, we were introduced to this set so early in our lives that we think of ourselves as having grown up with the integers! Moreover, we view ourselves as having completely absorbed the process of integer division; we unhesitatingly describe 3 as dividing 99 and equally unhesitatingly describe 5 as not dividing 101.
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© 1997 Springer Science+Business Media New York
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Sethuraman, B.A. (1997). Divisibility in the Integers. In: Rings, Fields, and Vector Spaces. Undergraduate Texts in Mathematics. Springer, New York, NY. https://doi.org/10.1007/978-1-4757-2700-5_2
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DOI: https://doi.org/10.1007/978-1-4757-2700-5_2
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4757-2702-9
Online ISBN: 978-1-4757-2700-5
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