Decomposition of effect algebras and the Hammer-Sobczyk theorem

• Autores: Anna Avallone, Giuseppina Barbieri , Paolo Vitolo
• Localización: Algebra universalis, ISSN 0002-5240, Vol. 60, Nº. 1, 2009, págs. 1-18
• Idioma: inglés
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• Resumen

  • We prove an algebraic and a topological decomposition theorem for complete D-lattices (i.e., lattice-ordered effect algebras). As a consequence, we obtain a Hammer�Sobczyk type decomposition theorem for modular measures on D-lattices.