\(F\)–semigroups

• Date: 2018
• Main Authors: Giraldes, Emilia, Marques-Smith, Paula, Mitsch, Heinz
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2018
• Subjects: natural partial order; maximal elements; group congruence; residual; anticone; 20M10
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/859
• Journal Title: Algebra and Discrete Mathematics

A semigroup \(S\) is called \(F\)- semigroup if there exists a group-congruence \(\rho\) on \(S\) such that every \(\rho\)-class contains a greatest element with respect to the natural partial order \(\leq_S\) of \(S\) (see [8]). This generalizes the concept of \(F\)-inverse semigroups introduced by...