On lattice properties of epigroups

• Autores: L. N. Shevrin, A. J. Ovsyannikov
• Localización: Algebra universalis, ISSN 0002-5240, Vol. 59, Nº. 1-2, 2008, págs. 209-235
• Idioma: inglés
• DOI: 10.1007/s00012-008-2112-y
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• Resumen

  • The structure of an epigroup with upper semimodular subepigroup lattice is described modulo groups. A special case is distinguished when this lattice belongs to a quasivariety contained in the variety of all modular lattices. It is also shown that certain properties of epigroups are invariant under taking a lattice isomorphic epigroup; this takes place, in particular, for epigroups decomposable into a semilattice of archimedean epigroups and for some types of archimedean epigroups.