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.
Decomposition of effect algebras and the Hammer–Sobczyk theorem
AVALLONE, Anna;VITOLO, Paolo;
2009-01-01
Abstract
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.File in questo prodotto:
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