DOIAbstract
AbstractEvery square matrix over a field, with determinant ±1, is the product of not more than four involutions
AbstractEvery square matrix over a field, with determinant ±1, is the product of not more than four involutions
AbstractLet V be a finite-dimensional vector space over a commutative field of characteristic distin...
International audienceWe prove that every automorphism of an infinite-dimensional vector space over ...
AbstractIt is shown that every complex n × n matrix T is the product of four quadratic matrices. Mor...
AbstractEvery square matrix over a field, with determinant ±1, is the product of not more than four ...
AbstractIt is shown that every square matrix over a characteristic-two field with at least four elem...
AbstractLet αϵGLn A be a matrix over a commutative ring A with 1 such that (det α)2 = 1. If α is cyc...
AbstractWe consider the group SLnF of all n by n matrices with determinant 1 over a field. Let res A...
AbstractWe consider the group SLnF of all n×n matrices with determinant 1 over a field F. We prove t...
AbstractSourour [A.R. Sourour, A factorization theorem for matrices, Linear and Multilinear Algebra ...
AbstractFirst necessary and sufficient conditions are presented for a square matrix over an arbitrar...
AbstractWe prove that any square matrix over a field is the product of at most three triangular matr...
AbstractAn n by n matrix M over a (commutative) field F is said to be central if M − I has rank 1. W...
AbstractIf a simple transformation σ is a product of two involutions, then σ is a reflection or a tr...
AbstractLet αϵGLn A be a matrix over a commutative ring A with 1 such that (det α)2 = 1. If α is cyc...
AbstractFor a square matrix we present one or two matrices whose determinant equals the discriminant...
AbstractLet V be a finite-dimensional vector space over a commutative field of characteristic distin...
International audienceWe prove that every automorphism of an infinite-dimensional vector space over ...
AbstractIt is shown that every complex n × n matrix T is the product of four quadratic matrices. Mor...
AbstractEvery square matrix over a field, with determinant ±1, is the product of not more than four ...
AbstractIt is shown that every square matrix over a characteristic-two field with at least four elem...
AbstractLet αϵGLn A be a matrix over a commutative ring A with 1 such that (det α)2 = 1. If α is cyc...
AbstractWe consider the group SLnF of all n by n matrices with determinant 1 over a field. Let res A...
AbstractWe consider the group SLnF of all n×n matrices with determinant 1 over a field F. We prove t...
AbstractSourour [A.R. Sourour, A factorization theorem for matrices, Linear and Multilinear Algebra ...
AbstractFirst necessary and sufficient conditions are presented for a square matrix over an arbitrar...
AbstractWe prove that any square matrix over a field is the product of at most three triangular matr...
AbstractAn n by n matrix M over a (commutative) field F is said to be central if M − I has rank 1. W...
AbstractIf a simple transformation σ is a product of two involutions, then σ is a reflection or a tr...
AbstractLet αϵGLn A be a matrix over a commutative ring A with 1 such that (det α)2 = 1. If α is cyc...
AbstractFor a square matrix we present one or two matrices whose determinant equals the discriminant...
AbstractLet V be a finite-dimensional vector space over a commutative field of characteristic distin...
International audienceWe prove that every automorphism of an infinite-dimensional vector space over ...
AbstractIt is shown that every complex n × n matrix T is the product of four quadratic matrices. Mor...
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