Lattice uniformities on pseudo-D-lattices

Mathematica Slovaca

Paolo Vitolo¹  Anna Avallone¹ 

关键词: pseudo-effect algebra;    pseudo-D-lattice;    D-uniformity;    lattice uniformity;    D-filter;    submeasure;   

DOI  :  10.2478/s12175-012-0062-5

学科分类：数学（综合）

来源: Slovenska Akademia Vied * Matematicky Ustav / Slovak Academy of Sciences, Mathematical Institute

【 摘 要 】

Let L be a pseudo-D-lattice. We prove that the lattice uniformities on L which make uniformly continuous the operations of L are uniquely determined by their system of neighbourhoods of 0 and form a distributive lattice.Moreover we prove that every such uniformity is generated by a family of weakly subadditive [0,+∞]-valued functions on L.

【 授权许可】

Unknown