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Automorphisms of the endomorphism semigroup of a free monoid or a free semigroup |
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| Authors: | G. Mashevitzky Boris M. Schein |
| Affiliation: | Department of Mathematics, Ben Gurion University of the Negev, Beer Sheva, Israel ; Department of Mathematical Sciences, University of Arkansas, Fayetteville, Arkansas 72701 |
| Abstract: | We determine all isomorphisms between the endomorphism semigroups of free monoids or free semigroups and prove that automorphisms of the endomorphism semigroup of a free monoid or a free semigroup are inner or ``mirror inner". In particular, we answer a question of B. I. Plotkin. |
| Keywords: | Free semigroup free monoid endomorphism automorphism |
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