There are other classifications of mathematical systems besides groups. For example, there are rings and fields. Determine

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There are other classifications of mathematical systems besides groups. For example, there are rings and fields. Determine the requirements that must be met for a mathematical system to be

(a) A ring

(b) A field.

(c) Is the set of real numbers, under the operations of addition and multiplication, a field?

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A Survey of Mathematics with Applications

ISBN: 978-0134112107

10th edition

Authors: Allen R. Angel, Christine D. Abbott, Dennis Runde

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