Results 1 to 10 of about 10,123,061 (206)

Regular Partial Residuated Lattices and Their Filters

open access: yesMathematics, 2022
To express wider uncertainty, Běhounek and Daňková studied fuzzy partial logic and partial function. At the same time, Borzooei generalized t-norms and put forward the concept of partial t-norms when studying lattice valued quantum effect algebras. Based
Nan Sheng, Xiaohong Zhang
doaj   +1 more source

Categorical Equivalences from State-Effect Adjunctions [PDF]

open access: yesElectronic Proceedings in Theoretical Computer Science, 2019
From every pair of adjoint functors it is possible to produce a (possibly trivial) equivalence of categories by restricting to the subcategories where the unit and counit are isomorphisms.
Robert Furber
doaj   +1 more source

MAXIMAL SUBSETS OF PAIRWISE SUMMABLE ELEMENTS IN GENERALIZED EFFECT ALGEBRAS

open access: yesActa Polytechnica, 2013
We show that in any generalized effect algebra (G;⊕, 0) a maximal pairwise summable subset is a sub-generalized effect algebra of (G;⊕, 0), called a summability block.
Zdenka Riečanová, Jiří Janda
doaj   +1 more source

Generalized Jordan Semitriple Maps on Hilbert Space Effect Algebras

open access: yesAdvances in Mathematical Physics, 2014
Let ℰ(H) be the Hilbert space effect algebra on a Hilbert space H with dim⁡H≥3, α,β two positive numbers with 2α+β≠1 and Φ:ℰ(H)→ℰ(H) a bijective map.
Qing Yuan, Kan He
doaj   +1 more source

Intervals in Generalized Effect Algebras and their Sub-generalized Effect Algebras

open access: yesActa Polytechnica, 2013
We consider subsets G of a generalized effect algebra E with 0∈G and such that every interval [0, q]G = [0, q]E ∩ G of G (q ∈ G , q ≠ 0) is a sub-effect algebra of the effect algebra [0, q]E.
Zdenka Riečanová, Michal Zajac
doaj  

Extensions of Effect Algebra Operations

open access: yesActa Polytechnica, 2011
We study the set of all positive linear operators densely defined in an infinite-dimensional complex Hilbert space. We equip this set with various effect algebraic operations making it a generalized effect algebra.
Z. Riečanová, M. Zajac
doaj  

More on PT-Symmetry in (Generalized) Effect Algebras and Partial Groups

open access: yesActa Polytechnica, 2011
We continue in the direction of our paper on PT-Symmetry in (Generalized) Effect Algebras and Partial Groups. Namely we extend our considerations to the setting of weakly ordered partial groups.
J. Paseka, J. Janda
doaj  

Effect Algebras of Positive Self-adjoint Operators Densely Defined on Hilbert Spaces

open access: yesActa Polytechnica, 2011
We show that (generalized) effect algebras may be suitable very simple and natural algebraic structures for sets of (unbounded) positive self-adjoint linear operators densely defined on an infinite-dimensional complex Hilbert space.
Z. Riečanová
doaj  

Generalized Deformed Commutation Relations with Nonzero Minimal Uncertainties in Position and/or Momentum and Applications to Quantum Mechanics

open access: yesSymmetry, Integrability and Geometry: Methods and Applications, 2007
Two generalizations of Kempf's quadratic canonical commutation relation in one dimension are considered. The first one is the most general quadratic commutation relation.
Christiane Quesne, Volodymyr M. Tkachuk
doaj  

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