For A Z+, let f, g: A A A be the closed binary operations

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For ϕ A⊂ Z+, let f, g: A × A → A be the closed binary operations defined by f(a, b) = min {a, b} and g(a, b) = max{a, b}. Does f have an identity element? Does g?

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Discrete and Combinatorial Mathematics An Applied Introduction

ISBN: 978-0201726343

5th edition

Authors: Ralph P. Grimaldi

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Question Posted: Jun 21, 2016 08:23 AM

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For A Z+, let f, g: A A A be the closed binary operations

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By the WellOrdering Principle A has a least elem...View the full answer

Discrete and Combinatorial Mathematics An Applied Introduction

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