Thumbnail
Access Restriction
Open

Author Skokov, D. V. ♦ Vernikov, B. M.
Source arXiv.org
Content type Text
File Format PDF
Date of Submission 2009-11-16
Language English
Subject Domain (in DDC) Natural sciences & mathematics ♦ Mathematics
Subject Keyword Mathematics - Group Theory ♦ 20M07 ♦ 08B15 ♦ math
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.
Educational Use Research
Learning Resource Type Article
Page Count 5


Open content in new tab

   Open content in new tab