Abstract
Abstract fields, of zero and nonzero characteristic, are defined and their elementary properties are proven. Several important examples are discussed.
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Notes
- 1.
When a mathematician says that something is “easy to see” or “trivial”, it means that you are expected to take out a pencil and paper and spend some time—often considerable—checking it out by yourself.
- 2.
These series were first studied by the nineteenth-century French engineer and mathematician, Pierre Alphonse Laurent.
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© 2012 Springer Science+Business Media B.V.
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Golan, J.S. (2012). Fields. In: The Linear Algebra a Beginning Graduate Student Ought to Know. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-2636-9_2
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DOI: https://doi.org/10.1007/978-94-007-2636-9_2
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-007-2635-2
Online ISBN: 978-94-007-2636-9
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