Semigroup Conditions for Groups

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Semigroup Conditions for Groups --contains--> Finite Cancellative Semigroups
Semigroup Conditions for Groups --contains--> Idempotents in Finite Semigroups
Finite Cancellative Semigroups --followed-by--> Idempotents in Finite Semigroups
Semigroup Conditions for Groups --contains--> Semigroup Equation Criterion for Groups
Idempotents in Finite Semigroups --followed-by--> Semigroup Equation Criterion for Groups
Semigroup Conditions for Groups --contains--> Semigroups
Semigroup Equation Criterion for Groups --followed-by--> Semigroups
Semigroup Conditions for Groups --contains--> Unique Idempotent Semigroups
Semigroups --followed-by--> Unique Idempotent Semigroups