Solutions of Qualifying Exams I, 2013 Fall 1. (Algebra) Consider the algebra M2 (k) of 2 × 2 matrices over a field k. Recall that an idempotent in an algebra is an element e such that e2 = e. (a) Show that an idempotent

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COMPUTATION OF OUTER AUTOMORPHISMS OF CENTRAL-SIMPLE ALGEBRAS TIMO HANKE1 Abstract. The paper presents algorithms for extending a field automorphism to a given finite-dimensional central-simple algebra over that field an

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CUBE-TERMS, FINITELY RELATED ALGEBRAS, AND CSP Abstract. We prove that a finite idempotent algebra is inherently finitely related if and only if it has a cube-term, find the maximal idempotent clones that do not contain

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• Algebra
• Mathematics
• Abstract algebra
• Lie groups
• Non-associative algebras
• Category theory
• F-algebra
• Functional programming
• Idempotence
• Algebra over a field
• Idempotent
• Mutation

619 Documenta Math. The Classification of Real Purely Infinite Simple C*-Algebras

Source URL: documenta.sagemath.org

• Algebra
• Abstract algebra
• Mathematics
• C*-algebras
• Lie groups
• Operator theory
• Lie algebras
• Algebras
• Algebra over a field
• Cuntz algebra
• Complexification
• Jordan operator algebra

ON A PROPERNESS OF THE HILBERT EIGENVARIETY AT INTEGRAL WEIGHTS: THE CASE OF QUADRATIC RESIDUE FIELDS SHIN HATTORI Abstract. Let p be a rational prime. Let F be a totally real number field such that F is unramified over

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• Algebra
• Mathematics
• Abstract algebra
• Modular forms
• Field theory
• Analytic number theory
• Operator theory
• Algebraic geometry
• Eigenform
• P-adic modular form
• Elliptic curve
• Valuation

ON A PROPERNESS OF THE HILBERT EIGENVARIETY AT INTEGRAL WEIGHTS: THE CASE OF QUADRATIC RESIDUE FIELDS SHIN HATTORI Abstract. Let p be a rational prime. Let F be a totally real number field such that F is unramified over

Source URL: www2.math.kyushu-u.ac.jp

• Algebra
• Mathematics
• Abstract algebra
• Operator theory
• Field theory
• Analytic number theory
• Modular forms
• Algebraic geometry
• Eigenform
• Elliptic curve
• Valuation
• Algebraic number field

C ∗ -ALGEBRAS AND K-THEORY GRADUATE STUDENT SEMINAR SUMMER TERM 2013 MARKUS LAND This semester we want to study the basic theory of C ∗ -algebras and their topological

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• Algebra
• Abstract algebra
• Mathematics
• K-theory
• Operator algebras
• Functional analysis
• C*-algebras
• Operator theory
• Banach algebra
• Algebra over a field
• KK-theory
• Associative algebra

A Characterization of Semisimple Plane Polynomial Automorphisms. Jean-Philippe FURTER, Dpt. of Math., Univ. of La Rochelle, av. M. Crépeau, La Rochelle, FRANCE email:

Source URL: perso.univ-lr.fr

• Algebra
• Mathematics
• Abstract algebra
• Lie groups
• Polynomials
• Unitary group
• Ring
• Automorphism
• Diagonalizable matrix
• Degree of a continuous mapping
• Factorization of polynomials over finite fields
• Finite field

Nullspace computation over rational function fields for symbolic summation Bur¸cin Er¨ocal RISC Johannes Kepler University Linz, Austria, A-4040

Source URL: erocal.org

• Algebra
• Mathematics
• Linear algebra
• Computer algebra
• Matrices
• Matrix theory
• Polynomial
• Matrix
• Finite field
• Invertible matrix
• Symbolic computation
• Kernel

PREPROJECTIVE ALGEBRAS, DIFFERENTIAL OPERATORS AND A CONZE EMBEDDING FOR DEFORMATIONS OF KLEINIAN SINGULARITIES WILLIAM CRAWLEY-BOEVEY Abstract. For any associative algebra A over a eld K we dene a family of

Source URL: www1.maths.leeds.ac.uk

• Algebra
• Abstract algebra
• Mathematics
• Ring theory
• Morphisms
• Algebras
• Module theory
• Bimodule
• Epimorphism
• Algebra over a field
• Algebra homomorphism
• Ring