Atomic Effect Algebras with the Riesz Decomposition Property

Foundations of Physics 42 (8):1078-1093 (2012)
  Copy   BIBTEX

Abstract

We discuss the relationships between effect algebras with the Riesz Decomposition Property and partially ordered groups with interpolation. We show that any σ-orthocomplete atomic effect algebra with the Riesz Decomposition Property is an MV-effect algebras, and we apply this result for pseudo-effect algebras and for states.

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 93,642

External links

Setup an account with your affiliations in order to access resources via your University's proxy server

Through your library

Similar books and articles

Kite Pseudo Effect Algebras.Anatolij Dvurečenskij - 2013 - Foundations of Physics 43 (11):1314-1338.
States on Pseudo Effect Algebras and Integrals.Anatolij Dvurečenskij - 2011 - Foundations of Physics 41 (7):1143-1162.
Phi-symmetric effect algebras.M. K. Bennett & D. J. Foulis - 1995 - Foundations of Physics 25 (12):1699-1722.
Type-Decomposition of an Effect Algebra.David J. Foulis & Sylvia Pulmannová - 2010 - Foundations of Physics 40 (9-10):1543-1565.
Partial algebras for Łukasiewicz logics and its extensions.Thomas Vetterlein - 2005 - Archive for Mathematical Logic 44 (7):913-933.
MV and Heyting Effect Algebras.D. J. Foulis - 2000 - Foundations of Physics 30 (10):1687-1706.

Analytics

Added to PP
2013-10-30

Downloads
12 (#317,170)

6 months
44 (#349,823)

Historical graph of downloads
How can I increase my downloads?

Citations of this work

Kite Pseudo Effect Algebras.Anatolij Dvurečenskij - 2013 - Foundations of Physics 43 (11):1314-1338.

Add more citations

References found in this work

Algebraic foundations of many-valued reasoning.Roberto Cignoli - 1999 - Boston: Kluwer Academic Publishers. Edited by Itala M. L. D'Ottaviano & Daniele Mundici.
Effect algebras and unsharp quantum logics.D. J. Foulis & M. K. Bennett - 1994 - Foundations of Physics 24 (10):1331-1352.
Phi-symmetric effect algebras.M. K. Bennett & D. J. Foulis - 1995 - Foundations of Physics 25 (12):1699-1722.

Add more references