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Communications in Algebra Volume 45, 2017 - Issue 9
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Original Articles

Automorphisms of the endomorphism semigroup of a free commutative dimonoid

Yurii V. ZhuchokFaculty of Mechanics and Mathematics, Kyiv National Taras Shevchenko University, Kyiv, UkraineCorrespondence[email protected]
Pages 3861-3871 | Received 17 Nov 2015, Published online: 31 Jan 2017
 
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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.

2010 MATHEMATICS SUBJECT CLASSIFICATION:

Acknowledgment

The author expresses his deep gratitude to the referee for helpful advice, suggestions and comments.

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