Cancellable elements of the lattice of semigroup varieties

• Date: 2018
• Main Authors: Gusev, Sergey Valentinovich, Skokov, Dmitry Vyacheslavovich, Vernikov, Boris Munevich
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2018
• Subjects: semigroup; variety; cancellable element of a lattice; modular element of a lattice; 20M07; 08B15
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/436
• Journal Title: 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.