International audienceLet p be a positive integer and A be a nilpotent complex matrix. We prove that the set of all p-th roots of A is path-connected
AbstractWe characterize connected graphs and digraphs having an nth root and so generalize results b...
We show that roots (if they exist) in e(1)(Gamma, N-0) over lattices Gamma in certain simply connect...
A new necessary and sufficient condition for the existence of an m-th root of a nilpotent matrix in ...
A matrix S is said to be an nth root of a matrix A if Sn = A, where n is a positive integer greater ...
AbstractLet f : X → X be a selfmap of a path-connected space and let a ϵ X. We call x ϵ X an irreduc...
AbstractWe provide a unified, elementary, topological approach to the classical results stating the ...
AbstractLet K be a subfield of C. We give a criterion for a nonsingular matrix A in MmK to have an n...
Let f:X --> X be a selfmap of a path-connected space and let a epsilon X. We call x epsilon X an ...
Given an n-dimensional vector space V over a field K, it is proved that if f is an endomorphism of ...
For any positive integer k let P<SUB>k</SUB> denote the characteristic polynomial of the adjacency m...
The distance from an arbitrary rank-one projection to the set of nilpotent operators, in the space o...
durch das w. M. Ludwig Reich) YOOD in [5] considered the problem of finding ‘‘rootless’ ’ matrices, ...
Assume that f: X → Y is a proper map of a connected n-manifold X into a Haus-dorff, connected, local...
Roots of unity play a basic role in the theory of algebraic extensions of fields and rings. The aim ...
AbstractFor any positive integer k let Pk denote the characteristic polynomial of the adjacency matr...
AbstractWe characterize connected graphs and digraphs having an nth root and so generalize results b...
We show that roots (if they exist) in e(1)(Gamma, N-0) over lattices Gamma in certain simply connect...
A new necessary and sufficient condition for the existence of an m-th root of a nilpotent matrix in ...
A matrix S is said to be an nth root of a matrix A if Sn = A, where n is a positive integer greater ...
AbstractLet f : X → X be a selfmap of a path-connected space and let a ϵ X. We call x ϵ X an irreduc...
AbstractWe provide a unified, elementary, topological approach to the classical results stating the ...
AbstractLet K be a subfield of C. We give a criterion for a nonsingular matrix A in MmK to have an n...
Let f:X --> X be a selfmap of a path-connected space and let a epsilon X. We call x epsilon X an ...
Given an n-dimensional vector space V over a field K, it is proved that if f is an endomorphism of ...
For any positive integer k let P<SUB>k</SUB> denote the characteristic polynomial of the adjacency m...
The distance from an arbitrary rank-one projection to the set of nilpotent operators, in the space o...
durch das w. M. Ludwig Reich) YOOD in [5] considered the problem of finding ‘‘rootless’ ’ matrices, ...
Assume that f: X → Y is a proper map of a connected n-manifold X into a Haus-dorff, connected, local...
Roots of unity play a basic role in the theory of algebraic extensions of fields and rings. The aim ...
AbstractFor any positive integer k let Pk denote the characteristic polynomial of the adjacency matr...
AbstractWe characterize connected graphs and digraphs having an nth root and so generalize results b...
We show that roots (if they exist) in e(1)(Gamma, N-0) over lattices Gamma in certain simply connect...
A new necessary and sufficient condition for the existence of an m-th root of a nilpotent matrix in ...
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