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arXiv · 0911.2743

Chains and anti-chains in the lattice of epigroup varieties

D. V. Skokov·B. M. Vernikov
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Abstract

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.

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D. V. Skokov, B. M. Vernikov. 2009-11-16. Chains and anti-chains in the lattice of epigroup varieties. https://arxiv.org/abs/0911.2743

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