Completions of GBL-algebras: negative results

• Autores: Tomasz Kowalski, Tadeusz Litak
• Localización: Algebra universalis, ISSN 0002-5240, Vol. 58, Nº. 4, 2008, págs. 373-384
• Idioma: inglés
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• Resumen

  • We provide a simple sufficient criterion to show that a given variety of GBL-algebras does not admit (local) completions. As corollaries, we obtain that no variety of GBL-algebras containing Chang�s chain, no nontrivial variety of l-groups, nor the variety of product algebras admit completions. The first result strengthens a result of Gehrke and Priestley.