The block structure of complete lattice ordered effect algebras

• Autores: Gejza Jenca
• Localización: Journal of the Australian Mathematical Society, ISSN 1446-7887, Vol. 83, Nº 2, 2007, págs. 181-216
• Idioma: inglés
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• Resumen

  • We prove that every for every complete lattice-ordered effect algebra E there exists an orthomodular lattice O(E) and a surjective full morphism E:O(E)E which preserves blocks in both directions: the (pre)image of a block is always a block. Moreover, there is a 01-lattice embedding E:EO(E).