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Roughness in Lattice Ordered Effect Algebras [PDF]
The Scientific World Journal, 2014 Many authors have studied roughness on various algebraic systems. In this paper, we consider a lattice ordered effect algebra and discuss its roughness in this context.
Xiao Long Xin, Xiu Juan Hua, Xi Zhu
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Archimedean Atomic Lattice Effect Algebras with Complete Lattice of Sharp Elements [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2010 We study Archimedean atomic lattice effect algebras whose set of sharp elements is a complete lattice. We show properties of centers, compatibility centers and central atoms of such lattice effect algebras.
Zdenka Riecanová
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Modularity, Atomicity and States in Archimedean Lattice Effect Algebras
Symmetry, Integrability and Geometry: Methods and Applications, 2010 Effect algebras are a generalization of many structures which arise in quantum physics and in mathematical economics. We show that, in every modular Archimedean atomic lattice effect algebra E that is not an orthomodular lattice there exists an (o ...
Jan Paseka
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Partial Residuated Implications Induced by Partial Triangular Norms and Partial Residuated Lattices
Axioms, 2023 This paper reveals some relations between fuzzy logic and quantum logic on partial residuated implications (PRIs) induced by partial t-norms as well as proposes partial residuated monoids (PRMs) and partial residuated lattices (PRLs) by defining partial ...
Xiaohong Zhang +2 more
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Lattice Uniformities on Effect Algebras [PDF]
International Journal of Theoretical Physics, 2005 Let L be a lattice ordered effect algebra. We prove that the lattice uniformities on L which make uniformly continuous the operations $\ominus$ and $\oplus$ of L are uniquely determined by their system of neighbourhoods of 0 and form a distributive lattice. Moreover we prove that every such uniformity is generated by a family of weakly subadditive $[0,+
AVALLONE, Anna, VITOLO, Paolo
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Topological lattice models with constant Berry curvature
SciPost Physics, 2022 Band geometry plays a substantial role in topological lattice models. The Berry curvature, which resembles the effect of magnetic field in reciprocal space, usually fluctuates throughout the Brillouin zone.
Daniel Varjas, Ahmed Abouelkomsan, Kang Yang, Emil J. Bergholtz
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On the properties of spectral effect algebras [PDF]
Quantum, 2019 The aim of this paper is to show that there can be either only one or uncountably many contexts in any spectral effect algebra, answering a question posed in [S. Gudder, Convex and Sequential Effect Algebras, (2018), arXiv:1802.01265].
Anna Jenčová, Martin Plávala
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Quotient structures in lattice effect algebras [PDF]
Kybernetika, 2019 Various more or less curious filters were introduced for BL-algebras by \textit{M. Haveshki} et al. in [Soft Comput. 10, No. 8, 657--664 (2006; Zbl 1103.03062)]. The authors here use a certain similarity of BL-algebras and lattice effect algebras and transfer these concepts for the later ones. They study relations between these filters and describe the
Amir Hossein Sharafi, Rajab Ali Borzooei
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The Groupoid-Based Logic for Lattice Effect Algebras [PDF]
2017 IEEE 47th International Symposium on Multiple-Valued Logic (ISMVL), 2017 The aim of the paper is to establish a certain logic corresponding to lattice effect algebras. First, we answer a natural question whether a lattice effect algebra can be represented by means of a groupoid-like structure. We establish a one-to-one correspondence between lattice effect algebras and certain groupoids with an antitone involution.
Ivan Chajda, Helmut Länger, Jan Paseka
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MAXIMAL SUBSETS OF PAIRWISE SUMMABLE ELEMENTS IN GENERALIZED EFFECT ALGEBRAS
Acta 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
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