Results 91 to 100 of about 1,175,834 (208)

Duality Based on Galois Connection. Part I

, 2008
Summary. In the paper, we investigate the duality of categories of complete lattices and maps preserving suprema or infima according to [15, p. 179–183; 1.1–1.12]. The duality is based on the concept of the Galois connection.
Grzegorz Bancerek
core  

Characterization of image sets: the Galois Lattice approach [PDF]

, 2003
This paper presents a new method for supervised image classification. One or several landmarks are attached to each class, with the intention of characterizing it and discriminating it from the other classes.
Samuelides, Manuel, Zenou, Emmanuel, Manuel Samuelides, Emmanuel Zenou   +3 more
core  

Galois theory for partial clones and some relational clones

, 2011
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
core   +1 more source

Descendants of algebraic curves admitting two Galois points [PDF]

, 2023
A connection between Galois points of an algebraic curve and those of a quotient curve is presented; in particular, the notion of a descendant of algebraic curves admitting two Galois points is introduced.
Fukasawa, Satoru
core  

A Galois Connection for Reduced Incidence Algebras [PDF]

Proceedings of the American Mathematical Society, 1974
If N = { 1 , ⋯
openaire   +1 more source

A Meta-Logical Framework for the Equivalence of Syntactic and Semantic Theories

Philosophies
This paper introduces a meta-logical framework—based on the theory of institutions (a categorical version of abstract model theory)—to be used as a tool for the formalization of the two main views regarding the structure of scientific theories, namely ...
Maria Dimarogkona, Petros Stefaneas, Nicola Angius   +2 more
doaj   +1 more source

Formal Context Transforms and Their Affordances for Exploratory Data Analysis

Mathematics
Consider a formal context (G, M, I) as the basic mechanism to capture information about a set G of objects, a set M of attributes and the relation I ∈ G × M between them. Traditional use of Formal Concept Analysis has some shortcomings in its information-
Francisco J. Valverde-Albacete, Carmen Peláez-Moreno, Inma P. Cabrera, Pablo Cordero, Manuel Ojeda-Aciego   +4 more
doaj   +1 more source

Galois theory for cylindric algebras and its applications

, 1984
A Galois correspondence between cylindric set algebras and permutation groups is presented in this paper. Moreover, the Galois connection is used to help establish two important algebraic properties for certain classes of finite-dimensional cylindric ...
Stephen D. Comer
core   +1 more source

Nonvanishing minors of eigenvector matrices and consequences

Special Matrices
For a matrix M∈Kn×n{\bf{M}}\in {{\mathbb{K}}}^{n\times n}, we establish a condition on the Galois group of the characteristic polynomial φM{\varphi }_{{\bf{M}}} that induces nonvanishing of the minors of the eigenvector matrix of M{\bf{M}}.
Emmrich Tarek
doaj   +1 more source

Galois Connections and Applications [PDF]

, 2004
Preface M. Erne Adjunctions and Galois Connections: Origins, History and Development G. Janelidze Categorical Galois Theory: Revision and Some Recent Developments M. Erne The Polarity between Approximation and Distribution K. Denecke, S.L. Wismath Galois Connections and Complete Sublattices R.
openaire   +1 more source