Chains and anti-chains in the lattice of epigroup varieties
| Autor: | Skokov, D. V., Vernikov, B. M. |
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| Rok vydání: | 2009 |
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| Druh dokumentu: | Working Paper |
| Popis: | Let $\mathcal E_n$ be the variety of all epigroups of index $\le n$. We prove that, for an arbitrary natural number $n$, the interval $[\mathcal E_n, \mathcal E_{n+1}]$ of the lattice of epigroup varieties contains a chain isomorphic to the chain of real numbers with the usual order and an anti-chain of the cardinality continuum. Comment: 5 pages, 2 figures |
| Databáze: | arXiv |
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