Results 181 to 190 of about 65,317,424 (205)
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The centers of generic division algebras with involution
Israel Journal of Mathematics, 1988Sei \(R\) der Ring von \(k\) generischen \((n,n)\)-Matrizen über dem Körper \(F\) (d.h. sei \(S=F[x_{ij}^{(r)}\), \(1\leq i,j\leq n\), \(1\leq r\leq k]\) der Polynomring in \(k\cdot n^ 2\) kommutativen Variablen und \(R=F[X_ 1,...,X_ k]\) die von den Matrizen \(X^{(r)}=(x_{ij}^{(r)})\), \(1\leq r\leq k\), in \(M_ n(S)\) erzeugte \(F\)-Algebra). Ist \(K\
David J Saltman, Allan Berele
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Homomorphisms and Involutions of Unramified Henselian Division Algebras
Journal of Mathematical Sciences, 2015zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Tikhonov, S. V., Yanchevskii, V. I.
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On Involutions of Quasi-Division Algebras
Canadian Mathematical Bulletin, 1975All algebras are assumed to be finite dimensional and not necessarily associative. An involution of an algebra is an algebra automorphism of order two. A quasi-division algebra is any algebra in which the non-zero elements form a quasi-group under multiplication.
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The discriminant Pfister form of an algebra with involution of capacity four [PDF]
Israel Journal of MathematicsTo an orthogonal or unitary involution on a central simple algebra of degree 4, or to a symplectic involution on a central simple algebra of degree 8, we associate a Pfister form that characterises the decomposability of the algebra with involution.
Nicolas Grenier-Boley +2 more
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Algebras with involution that become hyperbolic over the function field of a conic
Israel Journal of Mathematics, 2010 We study central simple algebras with involution of the first kind that become hyperbolic over the function field of the conic associated to a given quaternion algebra Q.
Jean-Pierre Tignol
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Mathematics of the USSR-Izvestiya, 1988
Suppose that a function f(z) satisfies a Lipschitz condition with an arbitrary positive element on a compact set X in \({\mathbb{C}}\) and can be uniformly approximated on X by rational functions. If \(q>1\) and some branch of \((f(z))^ q\) is continuous on X, then this branch can also be approximated on X by rational functions.
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Suppose that a function f(z) satisfies a Lipschitz condition with an arbitrary positive element on a compact set X in \({\mathbb{C}}\) and can be uniformly approximated on X by rational functions. If \(q>1\) and some branch of \((f(z))^ q\) is continuous on X, then this branch can also be approximated on X by rational functions.
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