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Discrete ( n + 1)-valued states and n-perfect pseudo-effect algebras.
- Source :
-
Soft Computing - A Fusion of Foundations, Methodologies & Applications . Sep2013, Vol. 17 Issue 9, p1537-1552. 16p. - Publication Year :
- 2013
-
Abstract
- We give sufficient and necessary conditions to guarantee that a pseudo-effect algebra admits an ( n + 1)-valued discrete state. We introduce n-perfect pseudo-effect algebras as algebras which can be split into n + 1 comparable slices. We prove that the category of strong n-perfect pseudo-effect algebras is categorically equivalent to the category of torsion-free directed partially ordered groups of a special type. [ABSTRACT FROM AUTHOR]
- Subjects :
- *QUANTUM mechanics
*FUZZY measure theory
*HILBERT space
*BINARY operations
*ALGEBRA
Subjects
Details
- Language :
- English
- ISSN :
- 14327643
- Volume :
- 17
- Issue :
- 9
- Database :
- Academic Search Index
- Journal :
- Soft Computing - A Fusion of Foundations, Methodologies & Applications
- Publication Type :
- Academic Journal
- Accession number :
- 89622711
- Full Text :
- https://doi.org/10.1007/s00500-013-1001-2