AbstractLet M and N be two subspaces of a finite dimensional vector space V over a finite field F. We can count the number of all idempotent linear transformations T of V such that R(T) ⊂ M and N ⊂ N(T), where R(T) and N(T) denote the range space and the null space of T, respectively
AbstractWe show that there exists k∈N and 0<ϵ∈R such that for every field F of characteristic zero a...
Necessary and sufficient conditions are given on matrices $A$, $B$ and $S$, having entries in some f...
Let L be the algebra of all linear transformations on an n-dimensional vector space V over a field F...
AbstractLet F be the finite field with q elements and let V be an m-dimensional vector space over F....
AbstractLet V be a finite dimensional vector space over a finite field F. We call two functions f an...
AbstractA description of the lattice of hyperinvariant subspaces of a linear transformation on a fin...
AbstractLet F be the finite field with q elements and let V be an m-dimensional vector space over F....
AbstractIt is shown that a noncommutative simple algebra generated over a field F by two idempotents...
AbstractLet RE denote the set of all m × n matrices over an algebraically closed field F whose ranks...
AbstractIn this note, we find a sharp bound for the minimal number (or in general, indexing set) of ...
AbstractIn the construction of sets of orthogonal Latin hypercubes and in the study of finite projec...
AbstractWe compute the ranks of inclusion matrices of affine subspaces of a finite dimensional vecto...
AbstractFor some years it has been known that every singular square matrix over an arbitrary field F...
http://arxiv.org/PS_cache/math/pdf/0703/0703504v2.pdfWe prove that a sufficiently large subset of th...
AbstractSuppose F is a field. We show that if the characteristic of the field is not 2, then the sem...
AbstractWe show that there exists k∈N and 0<ϵ∈R such that for every field F of characteristic zero a...
Necessary and sufficient conditions are given on matrices $A$, $B$ and $S$, having entries in some f...
Let L be the algebra of all linear transformations on an n-dimensional vector space V over a field F...
AbstractLet F be the finite field with q elements and let V be an m-dimensional vector space over F....
AbstractLet V be a finite dimensional vector space over a finite field F. We call two functions f an...
AbstractA description of the lattice of hyperinvariant subspaces of a linear transformation on a fin...
AbstractLet F be the finite field with q elements and let V be an m-dimensional vector space over F....
AbstractIt is shown that a noncommutative simple algebra generated over a field F by two idempotents...
AbstractLet RE denote the set of all m × n matrices over an algebraically closed field F whose ranks...
AbstractIn this note, we find a sharp bound for the minimal number (or in general, indexing set) of ...
AbstractIn the construction of sets of orthogonal Latin hypercubes and in the study of finite projec...
AbstractWe compute the ranks of inclusion matrices of affine subspaces of a finite dimensional vecto...
AbstractFor some years it has been known that every singular square matrix over an arbitrary field F...
http://arxiv.org/PS_cache/math/pdf/0703/0703504v2.pdfWe prove that a sufficiently large subset of th...
AbstractSuppose F is a field. We show that if the characteristic of the field is not 2, then the sem...
AbstractWe show that there exists k∈N and 0<ϵ∈R such that for every field F of characteristic zero a...
Necessary and sufficient conditions are given on matrices $A$, $B$ and $S$, having entries in some f...
Let L be the algebra of all linear transformations on an n-dimensional vector space V over a field F...
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