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Galois Connections and Data Mining [PDF]

open access: yesJ. Univers. Comput. Sci., 2000
JUCS - Journal of Universal Computer Science Volume Nr.
Cristofor,Dana   +2 more
openaire   +4 more sources

Galois Theory for Finite Algebras of Operations and Multioperations of Rank 2

open access: yesИзвестия Иркутского государственного университета: Серия "Математика", 2019
The construction of Galois theory for the algebras of operations and relations is a popular topic for investigation. It finds numerous applications in both algebra and discrete mathematics – especially for the perfect Galois connection, since if such a ...
N.A. Peryazev
doaj   +1 more source

Galois conjugation and multiboundary entanglement entropy

open access: yesJournal of High Energy Physics, 2020
We revisit certain natural algebraic transformations on the space of 3D topological quantum field theories (TQFTs) called “Galois conjugations.” Using a notion of multiboundary entanglement entropy (MEE) defined for TQFTs on compact 3-manifolds with ...
Matthew Buican, Rajath Radhakrishnan
doaj   +1 more source

On Implicative Derivations of MTL-Algebras

open access: yesAxioms, 2022
This paper introduces the implicative derivations and gives some of their characterizations on MTL-algebras. Furthermore, we provide some representation of MTL-algebras by implicative derivations and obtain some representation of Boolean algebra via the ...
Jianxin Liu   +3 more
doaj   +1 more source

Factor equivalence of Galois modules and regulator constants [PDF]

open access: yes, 2013
We compare two approaches to the study of Galois module structures: on the one hand, factor equivalence, a technique that has been used by Fröhlich and others to investigate the Galois module structure of rings of integers of number fields and of their ...
Bartel, Alex, Alex Bartel
core   +1 more source

Galois lattice theory for probabilistic visual landmarks [PDF]

open access: yes, 2004
This paper presents an original application of the Galois lattice theory, the visual landmark selection for topological localization of an autonomous mobile robot, equipped with a color camera.
Samuelides,Manuel   +3 more
core   +1 more source

On ρ-conjugate Hopf–Galois structures [PDF]

open access: yes, 2023
The Hopf-Galois structures admitted by a Galois extension of fields $ L/K $ with Galois group $ G $ correspond bijectively with certain subgroups of $ \mathrm{Perm}(G) $.
Truman
core   +1 more source

An Explanation of the Landauer bound and its ineffectiveness with regard to multivalued logic

open access: yesTechnical Transactions, 2020
We discuss, using recent results on the thermodynamics of multivalued logic, the difficulties and pitfalls of how to apply the Landauer’s principle to thermodynamic computer memory models. The presentation is based on Szilard’s version of Maxwell’s demon
Kycia Radosław A.   +1 more
doaj   +1 more source

On the connection between Hopf--Galois structures and skew braces [PDF]

open access: yes, 2023
We present a different version of the well-known connection between Hopf--Galois structures and skew braces, building on a recent paper of A. Koch and P. J. Truman. We show that the known results that involve this connection easily carry over to this new
Senne Trappeniers   +3 more
core   +1 more source

Galois connections between sets of paths and closure operators in simple graphs

open access: yesOpen Mathematics, 2018
For every positive integer n,we introduce and discuss an isotone Galois connection between the sets of paths of lengths n in a simple graph and the closure operators on the (vertex set of the) graph.
Šlapal Josef
doaj   +1 more source

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