Automorphisms of the endomorphism semigroup of a free commutative dimonoid |
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| Authors: | Yurii V Zhuchok |
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| Institution: | 1. Faculty of Mechanics and Mathematics, Kyiv National Taras Shevchenko University, Kyiv, Ukrainezhuchok.yu@gmail.com |
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| Abstract: | We determine all isomorphisms between the endomorphism semigroups of free commutative dimonoids and prove that all automorphisms of the endomorphism semigroup of a free commutative dimonoid are quasi-inner. In particular, we answer a question of B. I. Plotkin. |
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| Keywords: | Automorphism group dimonoid endomorphism semigroup free commutative dimonoid |
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