On characteristic properties of semigroups

• Date: 2015
• Main Authors: Bondarenko, Vitaliy M., Zaciha, Yaroslav V.
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2015
• Subjects: semigroup; anti-isomorphism; idempotent; Cayley table; characteristic property; char-complete set; 20M
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/97
• Journal Title: Algebra and Discrete Mathematics

Let \(\mathcal{K}\) be a class of  semigroups and \(\mathcal{P}\)  be a set of general properties of semigroups. We call a subset \(Q\) of \(\mathcal{P}\)   cha\-racteristic for a semigroup\(S\in\mathcal{K}\) if, up to isomorphism and anti-isomorphism, \(S\) is the only semigroup in\(\mathcal{K}\),...