Extending states on finite concrete logics
Mathematical Physics
2007-05-23 v2 math.MP
Abstract
In this note we collect several observations on state extensions. They may be instrumental to anyone who pursues the theory of quantum logics. In particular, we find out when extensions (resp. signed extensions) exist in the "concrete" concrete logic of all even-element subsets of an even-element set. We also mildly add to the study of difference-closed logics by finding an extension theorem for subadditive states.
Cite
@article{arxiv.math-ph/0311012,
title = {Extending states on finite concrete logics},
author = {Anna De Simone and Mirko Navara and Pavel Pták},
journal= {arXiv preprint arXiv:math-ph/0311012},
year = {2007}
}
Comments
Proc. Quantum Structures 02, Vienna