On tame semigroups generated by idempotents with partial null multiplication

• Date: 2018
• Main Authors: Bondarenko, Vitaliy M., Tertychna, Olena M.
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2018
• Subjects: semigroup; representation; tame type; the Tits form; 15A; 16G
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/824
• Journal Title: Algebra and Discrete Mathematics

Let \(I\) be a finite set without \(0\) and \(J\) a subset in \(I\times I\)  without  diagonal elements \((i,i)\). We define  \(S(I,J)\) to be the semigroup with generators \(e_i\), where \(i\in I\cup 0\), and the following relations: \(e_0=0\);  \(e_i^2=e_i\) for any \(i\in I\); \(e_ie_j=0\) for an...