Results 91 to 100 of about 986 (204)

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
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Galois Parsimony [PDF]

We prove and interpret the Galois connection induced by satisfaction between sets of sentences and classes of structures in first-order ...
Lim, Gregory
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Galois comodules

, 2005
Galois comodules of a coring are studied. The conditions for a simple comodule to be a Galois comodule are found. A special class of Galois comodules termed principal comodules is introduced. These are defined as Galois comodules that are projective over
Tomasz Brzezinski, Brzeziński, Tomasz
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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.
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Hopf–Galois Structures, Skew Braces, and Their Connection

The study of Hopf–Galois structures, tools for addressing classical problems in arithmetic or field theory in a broader context, has been enriched by an unexpected connection with skew braces, algebraic structures whose relevance in various areas of ...
STEFANELLO, LORENZO
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Galois groups and number theory

, 2011
This is a survey article on algebraic number theory and its purpose is to show the great importance of Galois groups in different number theoretical problems.
Brzezinski, Juliusz
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Galois Correspondences for Hopf Bigalois Extensions

, 1998
LetHbe a Hopf algebra with bijective antipode over a commutative ringk. A rightH-Galois extension ofkis a rightH-comodule algebraAsuch thatk=AcoHand a certain canonical mapA⊗A→A⊗His a bijection.
Schauenburg, Peter
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Mereological approach to higher-order structure in complex systems: From macro to micro with Möbius

Physical Review Research
Relating macroscopic observables to microscopic interactions is a central challenge in the study of complex systems. While current approaches often focus on pairwise interactions, a complete understanding requires going beyond these to capture the full ...
Abel Jansma
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Galois cohomology of SO(N)-connections

, 2023
Abstract Two different types of Fuchsian function of the second kind are possible for SU(2)-bundle on U(1)-flat-connections of Chern-Simons field. Both of two different types of Fuchsian are parametrized by the same moduli as the LF-invariant measure situated on arbitrary Galois cohomology.
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Comparing the Galois Connection and Widening/Narrowing Approaches to Abstract Interpretation

, 1992
The use of infinite abstract domains with widening and narrowing for accelerating the convergence of abstract interpretations is shown to be more powerful than the Galois connection approach restricted to finite lattices (or lattices satisfying the chain
Radhia Cousot, Patrick Cousot
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