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I'm having trouble on a question about semigroups which looks like it should be fairly straightforward:

If S is a semigroup with finitely many elements satisfying the Cancellation Law (i.e. ab=ac implies b=c and ba=ca implies b=c), then S is a group.

Anyone know how to go about this?

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# Question about semigroups

**Physics Forums | Science Articles, Homework Help, Discussion**