Let (R, +, ) be a commutative ring, and let z denote the zero element of R.

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Let (R, +, •) be a commutative ring, and let z denote the zero element of R. For a fixed element a ∈ R, define N(a) = [r ∈ R | ra = z}. Prove that N(a) is an ideal of R.

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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 08:59 AM

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Let (R, +, ) be a commutative ring, and let z denote the zero element of R.

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Since za z it follows that z Na and Na 0 If ...View the full answer

Discrete and Combinatorial Mathematics An Applied Introduction

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