The extension of measures on D-lattices

被引：2
作者：
Barbieri, Giuseppina [1 ]
机构：
[1] Univ Udine, Dipartimento Matemat & Informat, I-33100 Udine, Italy
来源：
FUZZY SETS AND SYSTEMS | 2014年 / 244卷
关键词：
D-lattices; Measures; Lattice ordered groups; CONTINUOUS SET-FUNCTIONS; TOPOLOGICAL RINGS;
D O I：
10.1016/j.fss.2013.07.002
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
A lattice ordered group valued measure is extended from a D-lattice into a sigma-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. (C) 2013 Elsevier B.V. All rights reserved.
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页码：123 / 129
页数：7
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