If (R, +, ) is a ring, prove that C = |r R|ar = ra, for

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If (R, +, •) is a ring, prove that C = |r ∈ R|ar = ra, for all a ∈ R] is a subring of R. (The subring C is called the center 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 09:03 AM

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If (R, +, ) is a ring, prove that C = |r R|ar = ra, for

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Since az z za for all a R we have z C and ...View the full answer

Discrete and Combinatorial Mathematics An Applied Introduction

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