Automorphisms of the endomorphism semigroup of a free commutative \(g\)-dimonoid

• Date: 2016
• Main Author: Zhuchok, Yurii V.
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2016
• Subjects: \(g\)-dimonoid; free commutative \(g\)-dimonoid; endomorphism semigroup; automorphism group; 08A35; 08B20; 17A30
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/234
• Journal Title: Algebra and Discrete Mathematics

We determine all isomorphisms between the endomorphism semigroups of free commutative \(g\)-dimonoids and prove that all automorphisms of the endomorphism semigroup of a free commutative \(g\)-dimonoid are quasi-inner.