| Authors: | Krapež, Aleksandar |
| Affiliations: | Mathematical Institute of the Serbian Academy of Sciences and Arts |
| Title: | Quadratic level quasigroup equations with four variables II: The lattice of varieties |
| Journal: | Publications de l'Institut Mathematique |
| Volume: | 93 |
| Issue: | 107 |
| First page: | 29 |
| Last page: | 47 |
| Issue Date: | 26-Jul-2013 |
| Rank: | M23 |
| ISSN: | 0350-1302 |
| DOI: | 10.2298/PIM1307029K |
| Abstract: | We consider a class of quasigroup identities (with one operation symbol) of the form x1x2.x3x4 = x5x6.x7x8 and with xi Ε {x, y, u, v} (1 ≤ i ≤ 8) with each of x, y, u, v occurring exactly twice in the identity. There are 105 such identities. They generate 26 quasigroup varieties. The lattice of these varieties is given. |
| Keywords: | Lattice of varieties | Quadratic level quasigroup equation | Quasigroup | Quasigroup functional equation | Quasigroup identity | Quasigroup variety |
| Publisher: | Mathematical Institute of the SASA |
| Project: | Advanced Techniques of Cryptology, Image Processing and Computational Topology for Information Security Representations of logical structures and formal languages and their application in computing |
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