Abstract
A field is a set k equipped with two commutative binary operations, addition and multiplication, such that
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(k, +) is an abelian group under addition;
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every nonzero element of k has a multiplicative inverse, and (k *, ·) is an abelian group under multiplication, where k * = k \ {0k};
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0k ≠ 1k;
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the distributive law holds: (a + b)c = ac + bc for all a, b, c Є k.
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© 2009 Birkhäuser Boston
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Andreescu, T., Andrica, D., Cucurezeanu, I. (2009). Some Advanced Methods for Solving Diophantine Equations. In: An Introduction to Diophantine Equations. Birkhäuser Boston. https://doi.org/10.1007/978-0-8176-4549-6_4
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DOI: https://doi.org/10.1007/978-0-8176-4549-6_4
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Publisher Name: Birkhäuser Boston
Print ISBN: 978-0-8176-4548-9
Online ISBN: 978-0-8176-4549-6
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