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About: Inverse semigroup     Goto   Sponge   NotDistinct   Permalink

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Type: yago:Artifact100021939yago:Object100002684yago:PhysicalEntity100001930yago:YagoGeoEntityyago:YagoPermanentlyLocatedEntityyago:Structure104341686yago:Whole100003553yago:WikicatAlgebraicStructures New Facet based on Instances of this Class

In group theory, an inverse semigroup (occasionally called an inversion semigroup) S is a semigroup in which every element x in S has a unique inverse y in S in the sense that x = xyx and y = yxy, i.e. a regular semigroup in which every element has a unique inverse. Inverse semigroups appear in a range of contexts; for example, they can be employed in the study of partial symmetries.