Skip Navigation



Journal of Logic and Computation Advance Access published online on March 10, 2009
Journal of Logic and Computation, doi:10.1093/logcom/exp016
This Article
Right arrow Full Text (PDF)
Right arrow References
Right arrow Alert me when this article is cited
Right arrow Alert me if a correction is posted
Services
Right arrow Email this article to a friend
Right arrow Similar articles in this journal
Right arrow Alert me to new issues of the journal
Right arrow Add to My Personal Archive
Right arrow Download to citation manager
Right arrowRequest Permissions
Google Scholar
Right arrow Articles by Leustean, I.
Right arrow Search for Related Content
Social Bookmarking
Add to CiteULike   Add to Connotea   Add to Del.icio.us  
What's this?

© The Author, 2009. Published by Oxford University Press. All rights reserved. For Permissions, please email: journals.permissions@oxfordjournals.org

Original Papers

Metric Completions of MV-algebras with States: An Approach to Stochastic Independence

Ioana Leustean

Faculty of Mathematics and Computer Science, University of Bucharest, Romania and Department of Mathematics, Technische Universität Darmstadt, Schlossgartenstrasse 7, 64289 Darmstadt, Germany.
E-mail: ileustean{at}mathematik.tu-darmstadt.de

Received 10 October 2008.


  Abstract

The state theory on MV-algebras is a generalization of Boolean probability theory and is a counterpart of the theory of states defined on lattice-ordered groups. We first investigate the metric space naturally associated to an MV-algebra with a state. The metric completion of anMV-algebra is defined and characterized in relation with the geometric properties of the corresponding state. We propose a concept of independent probability MV-algebras, attempting to solve an open problem from Riecan and Mundici.

Keywords: MV-algebras; states; metric completion; probability MV-algebras; stochastic independence


Add to CiteULike CiteULike   Add to Connotea Connotea   Add to Del.icio.us Del.icio.us    What's this?




Disclaimer: Please note that abstracts for content published before 1996 were created through digital scanning and may therefore not exactly replicate the text of the original print issues. All efforts have been made to ensure accuracy, but the Publisher will not be held responsible for any remaining inaccuracies. If you require any further clarification, please contact our Customer Services Department.