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Semi-group with cancellation

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2010 Mathematics Subject Classification: Primary: 20M [MSN][ZBL]

cancellative semi-group

A semi-group satisfying the cancellation law: $$ xy = xz \Rightarrow y = z \,, $$ $$ xy = zy \Rightarrow x = z \ . $$

How to Cite This Entry:
Semi-group with cancellation. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Semi-group_with_cancellation&oldid=35786