Results 71 to 80 of about 986 (204)
Some results on a Galois connection between lattices of L-fuzzy ideals
In this paper, first we present a cl-semigroup structure on L-fuzzy ideals, and conclude that the set of all L-fuzzy quasi-ideals is a cl-monoid with zero.
Zahedi, M.M
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The quantale of Galois connections [PDF]
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Network Security Empowered Digital Teaching Data Protection Algorithm for Ceramic Technology
In this paper, a complete algorithm system covering sensitivity identification, feature fusion, encrypted transmission and cultural image protection is established based on the ceramic teaching scene enabled by network security. ABSTRACT The digitalization of ceramic technology teaching generates sensitive multi‐modal data, including personal ...
Yuting Zhu +3 more
wiley +1 more source
Galois Connections in Persistent Homology
We present a new language for persistent homology in terms of Galois connections. This language has two main advantages over traditional approaches. First, it simplifies and unifies central concepts such as interleavings and matchings.
Gulen, Aziz Burak, McCleary, Alexander
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Simplification of exponential factors of irregular connections on P1${\mathbb {P}}^1$
Abstract We give an explicit algorithm to reduce the ramification order of any exponential factor of an irregular connection on P1$\mathbb {P}^1$, using the same types of basic operations as in the Katz–Deligne–Arinkin algorithm for rigid irregular connections.
Jean Douçot
wiley +1 more source
Abstract Number theory for positive characteristic contains analogues of the special values that were introduced by Carlitz; these include the Carlitz gamma values and Carlitz zeta values. These values were further developed to the arithmetic gamma values and multiple zeta values by Goss and Thakur, respectively.
Ryotaro Harada, Daichi Matsuzuki
wiley +1 more source
Galois theory for partial clones and some relational clones
peer reviewedA Galois connection between partial clones and a new variant of relation algebras is established. We introduce a new elementary operation on relations which captures the difference between total and partial clones and allows us to adapt the ...
SCHÖLZEL, Karsten, Karsten Schölzel
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Relational Galois connections between transitive fuzzy digraphs
Fuzzy-directed graphs are often chosen as the data structure to model and implement solutions to several problems in the applied sciences. Galois connections have also shown to be useful both in theoretical and in practical problems.
Bernard De Baets +9 more
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A Constructive Framework for Galois Connections
Abstract interpretation-based static analyses rely on abstract domains of program properties, such as intervals or congruences for integer variables. Galois connections (GCs) between posets provide the most widespread and useful formal tool for mathematically specifying abstract domains.
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Galois connections categorically
This is an expansion of a previous paper [Lect. Notes Comput. Sci. 239, 122-134 (1986; Zbl 0615.06002)]. It is a somewhat discursive discussion of Galois connections in (briefly) partially ordered sets, concrete categories, and categories. In concrete categories the authors consider only Galois connections commuting with the forgetful functors, which ...
Herrlich, H., Hušek, M.
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