| Authors: | Krapež, Aleksandar Marinković, Bojan |
Title: | Isotopy invariant quasigroup identities | Journal: | Commentationes Mathematicae Universitatis Carolinae | Volume: | 57 | Issue: | 4 | First page: | 537 | Last page: | 547 | Issue Date: | 1-Jan-2016 | ISSN: | 0010-2628 | DOI: | 10.14712/1213-7243.2015.179 | Abstract: | According to S. Krstić, there are only four quadratic varieties which are closed under isotopy. We give a simple procedure generating quadratic identities and deciding which of the four varieties they define. There are about 37000 such identities with up to five variables. |
Keywords: | 3-sorted quasigroup | Coherent identity | Gem-ini identity | Homotopy | Isotopy | Quadratic identity | Quasigroup | Variety closed under isotopy (homotopy) | Publisher: | Faculty of Mathematics and Physics, Charles University | Project: | Development of new information and communication technologies, based on advanced mathematical methods, with applications in medicine, telecommunications, power systems, protection of national heritage and education Representations of logical structures and formal languages and their application in computing |
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