AbstractIt is proved that for n ⩾ 3, every n ×n matrix with integer entries and determinant zero is the product of 36n + 217 idempotent matrices with integer entries
AbstractIt is shown that every complex n × n matrix T is the product of four quadratic matrices. Mor...
AbstractLet R be a complete blocked triangular matrix algebra over an infinite field F. Assume that ...
AbstractWe show that any complex square matrix T is a sum of finitely many idempotent matrices if an...
AbstractFor some years it has been known that every singular square matrix over an arbitrary field F...
AbstractIt is well known that a singular integer matrix can be factorized into a product of integer ...
AbstractWe show that a square matrix A over any field is a product of simultaneously triangulable id...
AbstractThe probability that the product of l square matrices of size n over a finite field with q e...
15 pagesInternational audienceIn this paper we provide concrete constructions of idempotents to repr...
Let D be the ring of integers of a quadratic number field Q[√d]. We study the factorizations of 2 × ...
AbstractA factorization xnIn = (xIn - A1)···(xIn - An) where each Ai is an n × n matrix with minimal...
AbstractLet Lk denote the set of those n × n matrices expressible as a sum of k idempotent matrices....
In this note we give an elementary proof of a theorem first proved by J. A. Erdos [3]. This theorem,...
AbstractAsymptotics are obtained for the number of m×n non-negative integer matrices subject to the ...
AbstractWe say that a ring R has the idempotent matrices property if every square singular matrix ov...
AbstractThe probability that the product of l square matrices of size n over a finite field with q e...
AbstractIt is shown that every complex n × n matrix T is the product of four quadratic matrices. Mor...
AbstractLet R be a complete blocked triangular matrix algebra over an infinite field F. Assume that ...
AbstractWe show that any complex square matrix T is a sum of finitely many idempotent matrices if an...
AbstractFor some years it has been known that every singular square matrix over an arbitrary field F...
AbstractIt is well known that a singular integer matrix can be factorized into a product of integer ...
AbstractWe show that a square matrix A over any field is a product of simultaneously triangulable id...
AbstractThe probability that the product of l square matrices of size n over a finite field with q e...
15 pagesInternational audienceIn this paper we provide concrete constructions of idempotents to repr...
Let D be the ring of integers of a quadratic number field Q[√d]. We study the factorizations of 2 × ...
AbstractA factorization xnIn = (xIn - A1)···(xIn - An) where each Ai is an n × n matrix with minimal...
AbstractLet Lk denote the set of those n × n matrices expressible as a sum of k idempotent matrices....
In this note we give an elementary proof of a theorem first proved by J. A. Erdos [3]. This theorem,...
AbstractAsymptotics are obtained for the number of m×n non-negative integer matrices subject to the ...
AbstractWe say that a ring R has the idempotent matrices property if every square singular matrix ov...
AbstractThe probability that the product of l square matrices of size n over a finite field with q e...
AbstractIt is shown that every complex n × n matrix T is the product of four quadratic matrices. Mor...
AbstractLet R be a complete blocked triangular matrix algebra over an infinite field F. Assume that ...
AbstractWe show that any complex square matrix T is a sum of finitely many idempotent matrices if an...
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