Green’s relations on the seminearring of full hypersubstitutions of type (\(n)\)

• Date: 2018
• Main Authors: Changphas, Th., Denecke, K.
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2018
• Subjects: full hypersubstitutions; seminearring; Green’s relations; 08B15
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/949
• Journal Title: Algebra and Discrete Mathematics

Hypersubstitutions are mappings which are used to define hyperidentities and solid varieties. In this paper we will show that the set of all hypersubstitutions of a given type forms a seminearring. We will give a full characterization of Green’s relation \(\mathcal{R}\) on a sub-seminearring of the...