THE MODEL THEORY OF SEPARABLY TAME VALUED FIELDS FRANZ–VIKTOR KUHLMANN AND KOUSHIK PAL Abstract. A henselian valued field K is called separably tame if its separable-algebraic closure K sep is a tame extension, that is

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279 Documenta Math. Essential Dimension: a Functorial Point of View

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• Algebraic groups
• Functors
• Essential dimension
• Category theory
• Cohomological invariant
• Separable extension
• Representable functor
• Sheaf
• Field extension
• Equivalence of categories
• Algebraic closure
• Cohomology

Separable Automorphisms on Matrix Algebras over Finite Field Extensions. Applications to Ideal Codes.1 J. Gómez-Torrecillas ? , F. J. Lobillo ? Department ‡ Dep.

Source URL: www.issac-symposium.org

• Algebraic structures
• Ring theory
• General topology
• Separable space
• Separable extension
• Ring
• F-algebra
• Field
• Structure
• Algebra over a field
• Separable algebra

NONCOMMUTATIVE GEOMETRY AND THE RIEMANN ZETA FUNCTION Alain Connes According to my first teacher Gustave Choquet one does, by openly facing a well known unsolved problem, run the risk of being remembered

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• Ring theory
• Representation theory of Lie groups
• Amenable group
• Geometric group theory
• Division algebra
• Von Neumann algebra
• Field extension
• Separable algebra
• Quaternion algebra
• Abstract algebra
• Algebra
• Algebras

The University of Hong Kong DEPARTMENT OF MATHEMATICS MATH3302/MATH4302 Algebra II Assignment 3 Due: Tuesday 1 pm, March 17, 2015. In the following, E, F, K are fields.

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• Field theory
• Algebraic number theory
• Galois extension
• Field extension
• Field
• Separable extension
• Fundamental theorem of Galois theory
• Abstract algebra
• Algebra
• Galois theory

The University of Hong Kong DEPARTMENT OF MATHEMATICS MATH3302/MATH4302 Algebra II Suggested Solution to Assignment 2 In the following, E, F, K are fields. 1. Let G be an abelian group and a, b ∈ G with ord (a) = m, or

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• Field theory
• Operator theory
• Field
• Ordinary differential equations
• Spectral theory
• Valuation
• Separable extension
• Abstract algebra
• Algebra
• Mathematics

The University of Hong Kong DEPARTMENT OF MATHEMATICS MATH3302/MATH4302 Algebra II Suggested Solution to Assignment 4 In the following, E, F, K are fields. 1. (a) Prove that K Emb (K/F ) = F ⇔ for all u ∈ K − F , M

Source URL: hkumath.hku.hk

• Galois theory
• Algebraic number theory
• Group theory
• Field
• Normal extension
• Galois extension
• Separable extension
• Fundamental theorem of Galois theory
• Abstract algebra
• Algebra
• Field theory

The University of Hong Kong DEPARTMENT OF MATHEMATICS MATH3302/MATH4302 Algebra II Assignment 2 Due: Tuesday 1 pm, March 3, 2015. In the following, E, F, K are fields.

Source URL: hkumath.hku.hk

• Field theory
• Field
• Finite field
• Operator theory
• Separable extension
• Fundamental theorem of Galois theory
• Abstract algebra
• Mathematical analysis
• Mathematics

The University of Hong Kong DEPARTMENT OF MATHEMATICS MATH3302/MATH4302 Algebra II Assignment 4 Due: Tuesday 1 pm, March 31, 2015. In the following, E, F, K are fields.

Source URL: hkumath.hku.hk

• Galois theory
• Algebraic number theory
• Polynomials
• Field
• Galois extension
• Separable polynomial
• Separable extension
• Fundamental theorem of Galois theory
• Abstract algebra
• Algebra
• Field theory

PRIME ORDER PRIMITIVE SUBGROUPS IN TORUS-BASED CRYPTOGRAPHY JASON E. GOWER Abstract. We use the Bateman-Horn conjecture to study the order of the set of Fq -rational points of primitive subgroups that arise in torus-base

Source URL: eprint.iacr.org

• Analytic number theory
• Integer sequences
• Field theory
• Bateman–Horn conjecture
• Finite field
• Algebraic torus
• Separable extension
• Number theory
• Field extension
• Abstract algebra
• Mathematics
• Algebra