Resumen de Completions of GBL-algebras: negative results

Tomasz Kowalski, Tadeusz Litak

• 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.