Extending states on finite concrete logics

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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.
Proc. Quantum Structures 02, Vienna

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Mathematical Physics, 06C15; 81P10

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http://salesiana.dossiersoluciones.com/handle/123456789/57557

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math-ph/0311012
 http://arxiv.org/abs/math-ph/0311012

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arXiv