Results 271 to 280 of about 624,674 (321)
Some of the next articles are maybe not open access.
About One Galois Embedding Problem
Journal of Mathematical Sciences, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +1 more source
IFAC Proceedings Volumes, 2005
Abstract We compute a stable polynomial matrix embedding a stabilizable one. The algorithm resembles the one described by Beelen and Van Dooren for the unimodular embedding problem. We also desribe the numerical problems associated with this kind of algorithms, and point out why the stable embedding algorithm has better prospects than its unimodular ...
R. Zavala Yoé +2 more
openaire +3 more sources
Abstract We compute a stable polynomial matrix embedding a stabilizable one. The algorithm resembles the one described by Beelen and Van Dooren for the unimodular embedding problem. We also desribe the numerical problems associated with this kind of algorithms, and point out why the stable embedding algorithm has better prospects than its unimodular ...
R. Zavala Yoé +2 more
openaire +3 more sources
Journal of Mathematical Sciences, 2002
Let \(n\) be an odd integer. Then the splitting fields \(K\) of \(f(x)= x^4- 2nx-1\) over \(\mathbb{Q}\) has Galois group \(S_4\). The author proves that the nonsplit embedding problem of \(K/\mathbb{Q}\) with kernel of order 2 has a solution if in the prime decomposition of \(16+ 27n^4\) the primes of odd multiplicity are of the form \(8m+ 1\), \(8m ...
openaire +2 more sources
Let \(n\) be an odd integer. Then the splitting fields \(K\) of \(f(x)= x^4- 2nx-1\) over \(\mathbb{Q}\) has Galois group \(S_4\). The author proves that the nonsplit embedding problem of \(K/\mathbb{Q}\) with kernel of order 2 has a solution if in the prime decomposition of \(16+ 27n^4\) the primes of odd multiplicity are of the form \(8m+ 1\), \(8m ...
openaire +2 more sources
Journal of Mathematical Physics, 1992
In this paper all the subfamilies of the homogeneous spaces described in the Introduction which can be embedded into a five-dimensional sphere are described.
openaire +1 more source
In this paper all the subfamilies of the homogeneous spaces described in the Introduction which can be embedded into a five-dimensional sphere are described.
openaire +1 more source
Journal of Mathematical Physics, 1988
This paper contains two results. First it is shown that the three-dimensional Riemannian space, which is invariant under the transformations of the rotation group, cannot be embedded in a four-dimensional Euclidean space (except, of course, for the three-dimensional sphere).
openaire +1 more source
This paper contains two results. First it is shown that the three-dimensional Riemannian space, which is invariant under the transformations of the rotation group, cannot be embedded in a four-dimensional Euclidean space (except, of course, for the three-dimensional sphere).
openaire +1 more source
2004
Let K[x1, ... , x n ] be the polynomial algebra in n variables over a field K. Any collection of polynomials p1, ... , p m from K[x1, ... , x n ] determines an algebraic variety {p i = 0, i = 1, ... , m} in the affine space K n . We shall denote this algebraic variety by V (p1, ... , p m ).
Alexander A. Mikhalev +2 more
openaire +1 more source
Let K[x1, ... , x n ] be the polynomial algebra in n variables over a field K. Any collection of polynomials p1, ... , p m from K[x1, ... , x n ] determines an algebraic variety {p i = 0, i = 1, ... , m} in the affine space K n . We shall denote this algebraic variety by V (p1, ... , p m ).
Alexander A. Mikhalev +2 more
openaire +1 more source
The computable embedding problem
Algebra and Logic, 2012zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Carson, J. +6 more
openaire +1 more source
Embedding Problems Over Large Fields
The Annals of Mathematics, 1996A field \(K\) is defined to be large if it has the property that every smooth curve over \(K\) has infinitely many \(K\)-rational points, provided that it has at least one rational point. Such fields include the PAC, PRC, and \(\text{P}_p \text{C}\) fields. This article is concerned with Galois theoretic properties of such fields.
openaire +1 more source