Add to ORKGLet F be any field and let Tn(F) be the n × n upper triangular matrix space over F. We denote the set of all n × n upper triangular idempotent matrices over F by Pn(F). A map ϕ on Tn(F) is called a preserver of idempotence if ϕ(Pn(F)) ⊂ Pn(F); and a strong preserver of idempotence if ϕ(Pn(F)) = Pn(F). In this paper, we characterize the bijective linear preservers of idempotence on Tn(F). Further, the strong linear preservers of idempotence on Tn(F) are characterized
AbstractLet R be a commutative principal ideal domain, T: Mn(R) → Mm(R) an R-linear map which preser...
AbstractIn this paper, we obtain several characterizations of rank preserving linear maps and comple...
Let)(FM be a space of matrices over the field F and)()(:T FF MM → be a linear operator. A common pr...
AbstractLet Tn(F) denote the vector space of all n × n upper triangular matrices over a field F. We ...
AbstractSuppose F is an arbitrary field. Let |F| be the number of the elements of F. Let Mn(F) be th...
AbstractLet U denote either the vector space of n×n matrices or the vector space of n×n symmetric ma...
AbstractLet Mn(F) be the space of all n×n matrices over a field F of characteristic not 2, and let P...
AbstractIn this paper, we obtain several characterizations of rank preserving linear maps and comple...
AbstractThis paper is concerned with linear maps L on n X n matrices such that (i) L(Ak) = L(A)k for...
The classification of preservers began about 100 years ago. In 1897, Frobenius characterized the lin...
AbstractLet Mn be the space of all n×n complex matrices and Tn the subset of Mn consisting of all up...
AbstractLet F be a field with ∣F∣>2 and Tn(F) be the set of all n×n upper triangular matrices, where...
Let be the field of all complex numbers, the space of all matrices over , and the subspace of c...
AbstractSuppose F is an arbitrary field. Let |F| be the number of the elements of F. Let Mn(F) be th...
AbstractLet Mn and Tn be the vector spaces of n×n matrices and upper triangular matrices over a fiel...
AbstractLet R be a commutative principal ideal domain, T: Mn(R) → Mm(R) an R-linear map which preser...
AbstractIn this paper, we obtain several characterizations of rank preserving linear maps and comple...
Let)(FM be a space of matrices over the field F and)()(:T FF MM → be a linear operator. A common pr...
AbstractLet Tn(F) denote the vector space of all n × n upper triangular matrices over a field F. We ...
AbstractSuppose F is an arbitrary field. Let |F| be the number of the elements of F. Let Mn(F) be th...
AbstractLet U denote either the vector space of n×n matrices or the vector space of n×n symmetric ma...
AbstractLet Mn(F) be the space of all n×n matrices over a field F of characteristic not 2, and let P...
AbstractIn this paper, we obtain several characterizations of rank preserving linear maps and comple...
AbstractThis paper is concerned with linear maps L on n X n matrices such that (i) L(Ak) = L(A)k for...
The classification of preservers began about 100 years ago. In 1897, Frobenius characterized the lin...
AbstractLet Mn be the space of all n×n complex matrices and Tn the subset of Mn consisting of all up...
AbstractLet F be a field with ∣F∣>2 and Tn(F) be the set of all n×n upper triangular matrices, where...
Let be the field of all complex numbers, the space of all matrices over , and the subspace of c...
AbstractSuppose F is an arbitrary field. Let |F| be the number of the elements of F. Let Mn(F) be th...
AbstractLet Mn and Tn be the vector spaces of n×n matrices and upper triangular matrices over a fiel...
AbstractLet R be a commutative principal ideal domain, T: Mn(R) → Mm(R) an R-linear map which preser...
AbstractIn this paper, we obtain several characterizations of rank preserving linear maps and comple...
Let)(FM be a space of matrices over the field F and)()(:T FF MM → be a linear operator. A common pr...