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.
Fernandes, Presentations for some monoids of partial transformations on a finite chain: a survey, Semigroups, Algorithms, Automata and Languages, Coimbra, 2001, 363–378, World Sci
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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.