Difference between revisions of "Semi-group with cancellation"
From Encyclopedia of Mathematics
(Start article: Semi-group_with_cancellation) |
(MSC 20M) |
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| − | {{TEX|done}} | + | {{TEX|done}}{{MSC|20M}} |
''cancellative semi-group'' | ''cancellative semi-group'' | ||
| − | A [[semi-group]] satisfying the [[cancellation | + | A [[semi-group]] satisfying the [[cancellation law]]: |
$$ | $$ | ||
xy = xz \Rightarrow y = z \,, | xy = xz \Rightarrow y = z \,, | ||
Latest revision as of 16:34, 21 December 2014
2020 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=35782
Semi-group with cancellation. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Semi-group_with_cancellation&oldid=35782