A lattice ordered group valued measure is extended from a D-lattice into a σ-complete D-lattice. A D-lattice is a lattice with a greatest element 1 and a smallest element 0 endowed with an order-compatible operation, called a difference, which satisfies a list of axioms. The result generalizes the classical result known for measures on Boolean algebras.

The extension of measures on D-lattices

BARBIERI, Giuseppina Gerarda
2014

Abstract

A lattice ordered group valued measure is extended from a D-lattice into a σ-complete D-lattice. A D-lattice is a lattice with a greatest element 1 and a smallest element 0 endowed with an order-compatible operation, called a difference, which satisfies a list of axioms. The result generalizes the classical result known for measures on Boolean algebras.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11390/1020346
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