Results 151 to 160 of about 178 (174)

The centers of generic division algebras with involution

Israel Journal of Mathematics, 1988
Sei \(R\) 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\
Allan Berele, David J Saltman, Berele Allan   +2 more
exaly   +3 more sources

Homomorphisms and Involutions of Unramified Henselian Division Algebras

Journal of Mathematical Sciences, 2015
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Tikhonov, S. V., Yanchevskii, V. I.
openaire   +1 more source

On Involutions of Quasi-Division Algebras

Canadian Mathematical Bulletin, 1975
All 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.
openaire   +1 more source

ON THE POSSIBILITY OF DIVISION AND INVOLUTION TO A FRACTIONAL POWER IN THE ALGEBRA OF RATIONAL FUNCTIONS

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.
openaire   +2 more sources

Central polynomials with involution for the algebra of 2 × 2 upper triangular matrices

Linear and Multilinear Algebra, 2021
Ronald Ismael Quispe Urure, Dimas JOSÉ Gonçalves   +1 more
exaly  

A Note on Symmetric Elements of Division Rings with Involution

Acta Mathematica Vietnamica, 2021
Võ Hoang Minh Thu
exaly  

On the Gersten–Witt complex of an Azumaya algebra with involution

Journal of Algebra, 2022
Uriya A First
exaly