Equational theories as congruences of enriched monoids

• Autores: A. M. Nurakunov
• Localización: Algebra universalis, ISSN 0002-5240, Vol. 58, Nº. 3, 2008, págs. 357-372
• Idioma: inglés
• DOI: 10.1007/s00012-008-2080-2
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• Resumen

  • The problem of characterizing the lattices of equational theories is still unsolved. In this paper we describe a class K of monoids enriched by two unary operations and show that a lattice L is a lattice of equational theories if and only if L is isomorphic to a lattice of congruences of some enriched monoid belonging to K