Pseudo-D-lattices and topologies generated by measures

Authors

  • Anna Avallone Università della Basilicata - Dipartimento di Matematica, Informatica ed Economia
  • Paolo Vitolo Università della Basilicata - Dipartimento di Matematica, Informatica ed Economia

Keywords:

modular measures, pseudo-effect algebras, uniqueness theorem

Abstract

We prove that every modular measure on a pseudo-D-lattice L generates on L a lattice uniformity which makes uniformly continuous the pseudo-D-lattice operations.  As an application, we obtain a uniqueness theorem for modular measures on pseudo D-lattices.

Cover of n°29 Italian Journal of Pure and Applied Mathematics

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Published

2012-12-11

How to Cite

Avallone, A., & Paolo Vitolo. (2012). Pseudo-D-lattices and topologies generated by measures. Italian Journal of Pure and Applied Mathematics, 29, 25–42. Retrieved from https://journals.uniurb.it/index.php/ijpam/article/view/6063

Issue

N°29 - December 2012

Section

Articoli - Forum Editrice

License

Copyright (c) 2012 Anna Avallone, Paolo Vitolo

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

L'opera è pubblicata sotto  Licenza Creative Commons Attribuzione 4.0 Internazionale (CC-BY)

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