NDLI: Some Properties Of ℤ

Content Provider	Scilit
Author	Whitelaw, Thomas A.
Copyright Year	2020
Description	One of our aims in this chapter is to establish certain elementary facts about the system of integers that we need in order to develop and illustrate the material of later chapters. These facts include simple results on congruences (introduced in §14) and, on a more fundamental level, the well-ordering principle (an absolutely basic property of ℤ, explained in detail in §10) and the division algorithm (§11). The last of these is the fact, suggested by our experience of elementary arithmetic, that, given an integer a and a divisor d (∊ ℕ), we can, in exactly one way, express a in the form a=(QUOTIENT)×d+(REMAINDER) Book Name: Introduction To Abstract Algebra
Related Links	https://content.taylorfrancis.com/books/download?dac=C2009-0-20565-2&isbn=9780203750230&doi=10.1201/9780203750230-2&format=pdf
Ending Page	34
Page Count	13
Starting Page	22
DOI	10.1201/9780203750230-2
Language	English
Publisher	Informa UK Limited
Publisher Date	2020-04-14
Access Restriction	Open
Subject Keyword	Book Name: Introduction To Abstract Algebra History and Philosophy of Science
Content Type	Text
Resource Type	Chapter

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