a=rε,b=s+δ,
This should be \(a = r + \varepsilon\) (not \(a=r\varepsilon\)), so that the next block, $$ ab = (r + \varepsilon)(s + \delta) $$ is correct.
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There is an error in Thereom 1.6.2: (ii) and (iii) are identical statements. Was (iii) supposed to say "If \(b\) is infinite, so is \(a\)."?
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