a. If R is a ring with unity and a, b are units of R, prove that

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a. If R is a ring with unity and a, b are units of R, prove that ab is a unit of R and that (ab)-l = b-la-l.
b. For the ring M2(Z), find A-1 B-1 (AB)-1 (BA)-1
and B-1A-1 if

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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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a. If R is a ring with unity and a, b are units of R, prove that

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a abb 1 a 1 aa l aa 1 u and b 1 a 1 ab b ...View the full answer

Discrete and Combinatorial Mathematics An Applied Introduction

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