Presentations and word problem for strong semilattices of semigroups

• Видавець: Lugansk National Taras Shevchenko University
• Дата: 2018
• Автори: Ayık, Gonca, Ayık, Hayrullah, Unlu, Yusuf
• Формат: Стаття
• Мова: English
• Опубліковано: Lugansk National Taras Shevchenko University 2018
• Теми: Semigroup presentations; strong semilattices of semigroups; word problems; 20M05
• Онлайн доступ: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/943

Let \(I\) be a semilattice, and \(S_i\) \((i\in I)\) be a family of disjoint semigroups. Then we prove that the strong semilattice \(S=\mathcal{S} [I,S_i,\phi _{j,i}]\) of semigroups \(S_i\) with homomorphisms \(\phi _{j,i}:S_j\rightarrow S_i\) (\(j\geq i\)) is finitely presented if and only if \(I\...