
Re: Can addition be defined in terms of multiplication?
Posted:
Aug 16, 2013 8:10 PM


In <alpine.LNX.2.00.1308161806110.15401@badwlrzclhri01.ws.lrz.de>, on 08/16/2013 at 06:14 PM, Helmut Richter <hhrm@web.de> said:
>Given a multiplication on a set (e.g. defined as a commutative >and associative operation allowing cancellation (ab = ac implies >b=c)),
That would be a strange definition in general, although it's reasonable if you're only concerned with groups. Is the "*" operation in Z a multiplication? Certainly 0b=0c doesn't imply b=c.
 Shmuel (Seymour J.) Metz, SysProg and JOAT <http://patriot.net/~shmuel>
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