AbstractIt is shown that a square matrix A over an arbitrary field F is a sum of two diagonalizable matrices, except when F=GF(2), in which case A is a sum of three diagonalizable matrices. The extent to which the ranks of the summands can be prescribed over an infinite field is also investigated, and necessary and sufficient conditions are presented
We show that any complex square matrix T is a sum of finitely many idempotent matrices if and only i...
The problem of determining the structure of linear transformations on the algebra of n-square matric...
The problem of determining the structure of linear transformations on the algebra of n-square matric...
AbstractIt is shown that a square matrix A over an arbitrary field F is a sum of two diagonalizable ...
AbstractIt is shown that every square matrix over a characteristic-two field with at least four elem...
AbstractLet F denote a field such that char(F)≠2. It is shown that every square matrix over F is exp...
AbstractThe problem to express an n×n matrix A as the sum of two square-zero matrices was first inve...
We study rings over which every matrix is the sum of two tripotents. In particular, we show that eve...
AbstractWe study which square matrices are sums of idempotents over a field of positive characterist...
26 pagesInternational audienceIt is known that every complex trace-zero matrix is the sum of four sq...
26 pagesInternational audienceIt is known that every complex trace-zero matrix is the sum of four sq...
which permits unrestricted use, distribution, and reproduction in any medium, provided the original ...
AbstractIn this paper the author considers symmetric n × n matrices over a field F finite dimensiona...
We study the rings over which each square matrix is the sum of an idempotent matrix and a q-potent m...
AbstractLet F denote a field such that char(F)≠2. It is shown that every square matrix over F is exp...
We show that any complex square matrix T is a sum of finitely many idempotent matrices if and only i...
The problem of determining the structure of linear transformations on the algebra of n-square matric...
The problem of determining the structure of linear transformations on the algebra of n-square matric...
AbstractIt is shown that a square matrix A over an arbitrary field F is a sum of two diagonalizable ...
AbstractIt is shown that every square matrix over a characteristic-two field with at least four elem...
AbstractLet F denote a field such that char(F)≠2. It is shown that every square matrix over F is exp...
AbstractThe problem to express an n×n matrix A as the sum of two square-zero matrices was first inve...
We study rings over which every matrix is the sum of two tripotents. In particular, we show that eve...
AbstractWe study which square matrices are sums of idempotents over a field of positive characterist...
26 pagesInternational audienceIt is known that every complex trace-zero matrix is the sum of four sq...
26 pagesInternational audienceIt is known that every complex trace-zero matrix is the sum of four sq...
which permits unrestricted use, distribution, and reproduction in any medium, provided the original ...
AbstractIn this paper the author considers symmetric n × n matrices over a field F finite dimensiona...
We study the rings over which each square matrix is the sum of an idempotent matrix and a q-potent m...
AbstractLet F denote a field such that char(F)≠2. It is shown that every square matrix over F is exp...
We show that any complex square matrix T is a sum of finitely many idempotent matrices if and only i...
The problem of determining the structure of linear transformations on the algebra of n-square matric...
The problem of determining the structure of linear transformations on the algebra of n-square matric...
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