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An inverse semigroup <math>S</math> is a [[semigroup]] such that for every <math>x \in S</math> there is a unique '''inverse''' <math>y</math> such that <math>x = xyx</math> and <math>y = yxy</math>
An '''inverse semigroup''' ''S'' is a [[semigroup]] such that for every ''x &isin; S'' there is a unique '''inverse''' ''y'' such that ''x = xyx'' and ''y = yxy''.
 
[[Category:Semigroup theory]]

Revision as of 19:10, 8 May 2005

An inverse semigroup S is a semigroup such that for every x ∈ S there is a unique inverse y such that x = xyx and y = yxy.