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

• Дата: 2018
• Автори: Changphas, Th., Denecke, K.
• Формат: Стаття
• Мова: Англійська
• Опубліковано: Lugansk National Taras Shevchenko University 2018
• Теми: full hypersubstitutions; seminearring; Green’s relations; 08B15
• Онлайн доступ: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/949
• Назва журналу: 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...