Semi-lattice of varieties of quasigroups with linearity

• Date: 2021
• Main Authors: Sokhatsky, F. M., Krainichuk, H. V., Sydoruk, V. A.
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2021
• Subjects: quasigroup; parastrophe; identity; parastrophic symmetry; parastrophic orbit; truss; bunch; left; right; middle linearity; alinearity; central; semi-central; semi-linear; semi-alinear; linear; alinear variety; Primary 20N05; 20N15; 39B52; 08A05; Secondary 05A15; 05B07
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1748
• Journal Title: Algebra and Discrete Mathematics

A \(\sigma\)-parastrophe of a class of quasigroups \(\mathfrak{A}\) is a class \({^{\sigma}\mathfrak{A}}\) of all \(\sigma\)-parastrophes of quasigroups from \(\mathfrak{A}\). A set of all pairwise parastrophic classes is called a parastrophic orbit or a truss. A parastrophically closed semi-lattice...