Detailed Information on Publication Record
2016
ON REALIZATION OF EFFECT ALGEBRAS
NIEDERLE, Josef and Jan PASEKABasic information
Original name
ON REALIZATION OF EFFECT ALGEBRAS
Authors
NIEDERLE, Josef (203 Czech Republic, belonging to the institution) and Jan PASEKA (203 Czech Republic, guarantor, belonging to the institution)
Edition
Mathematica Slovaca, BERLIN, Slovak Academy of Sciences, 2016, 0139-9918
Other information
Language
English
Type of outcome
Článek v odborném periodiku
Field of Study
10101 Pure mathematics
Country of publisher
Germany
Confidentiality degree
není předmětem státního či obchodního tajemství
Impact factor
Impact factor: 0.346
RIV identification code
RIV/00216224:14310/16:00088581
Organization unit
Faculty of Science
UT WoS
000387220200003
Keywords in English
non-classical logics; orthomodular lattices; effect algebras; MV-algebras; states; simplex algorithm
Tags
International impact, Reviewed
Změněno: 9/4/2017 10:00, Ing. Andrea Mikešková
Abstract
V originále
A well known fact is that there is a finite orthomodular lattice with an order determining set of states which is not order embeddable into the standard quantum logic, the lattice L(H) of all closed subspaces of a separable complex Hilbert space. We show that a finite generalized effect algebra is order embeddable into the standard effect algebra E(H) of effects of a separable complex Hilbert space iff it has an order determining set of generalized states iff it is order embeddable into the power of a finite MV-chain. As an application we obtain an algorithm, which is based on the simplex algorithm, deciding whether such an order embedding exists and, if the answer is positive, constructing it. (C) 2016 Mathematical Institute Slovak Academy of Sciences
Links
| EE2.3.20.0051, research and development project |
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| GA15-15286S, research and development project |
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