Cancellable elements of the lattice of semigroup varieties

• Datum: 2018
• Hauptverfasser: Gusev, Sergey Valentinovich, Skokov, Dmitry Vyacheslavovich, Vernikov, Boris Munevich
• Format: Artikel
• Sprache: English
• Veröffentlicht: Lugansk National Taras Shevchenko University 2018
• Schlagworte: semigroup; variety; cancellable element of a lattice; modular element of a lattice; 20M07; 08B15
• Online Zugang: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/436
• Назва журналу: Algebra and Discrete Mathematics

We completely determine all commutative semigroup varieties that are cancellable elements of the lattice SEM of all semigroup varieties. In particular, we verify that a commutative semigroup variety is a cancellable element of the lattice SEM if and only if it is a modular element of this lattice.