Introduces the inverse monoid of partial inner automorphisms for any semigroup and describes it explicitly for completely simple semigroups, full transformation monoids, and endomorphism monoids of finite abelian G-sets.
Preston, A note on representations of inverse semigroups,Proc
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The Inverse Monoid of Partial Inner Automorphisms of a Semigroup
Introduces the inverse monoid of partial inner automorphisms for any semigroup and describes it explicitly for completely simple semigroups, full transformation monoids, and endomorphism monoids of finite abelian G-sets.