Add to ORKGThe class of Bézout factorial rings is introduced and characterized. Using the factorial properties of such a ring R, and given a n×m matrix A over R, we find P ∈ GL(n, R) and Q ∈ GL(m, R) such that PAQ is diagonal with every element in the diagonal dividing the following one. Key-words: Ring, Bézout, principal, factorization, reduction of matrices.
AbstractThis paper develops methods to describe the conjugacy classes of GL(n,R) on Rn×n for a seria...
SIGLEAvailable from British Library Document Supply Centre- DSC:D65356/86 / BLDSC - British Library ...
AbstractIt is proved that each matrix over a principal ideal ring is equivalent to some diagonal mat...
We prove the following theorem. THEOREM 1. Let SD be any commutative principal ideal ring without di...
Matrix rings containing all diagonal matrices, over any coefficient ring R, correspond bijectively t...
AbstractLet F be a division ring and AϵGLn(F). We determine the smallest integer k such that A admit...
summary:We investigate the formal matrix ring over $R$ defined by a certain system of factors. We gi...
SIGLETIB Hannover: RO 8278(90-020) / FIZ - Fachinformationszzentrum Karlsruhe / TIB - Technische Inf...
AbstractLet F be a field of characteristic zero, and let Mn(F) be the algebra of n × n matrices over...
We prove the following theorem. THEOREM 1. Let D be any commutative principal ideal ring without di...
We prove the following theorem: Let D be any commutative principal ideal ring without divisors of ze...
AbstractLet M(λ) be a n × m matrix whose elements are polynomials in λ over the complex numbers whic...
AbstractNecessary and sufficient conditions are given for a commutative ring R to be a ring over whi...
An element x in a ring R is called right (resp. left) invertible if there exists y ∈ R such that xy ...
Some well-known results for matrices over a principal ideal domain are generalized to matrices over ...
AbstractThis paper develops methods to describe the conjugacy classes of GL(n,R) on Rn×n for a seria...
SIGLEAvailable from British Library Document Supply Centre- DSC:D65356/86 / BLDSC - British Library ...
AbstractIt is proved that each matrix over a principal ideal ring is equivalent to some diagonal mat...
We prove the following theorem. THEOREM 1. Let SD be any commutative principal ideal ring without di...
Matrix rings containing all diagonal matrices, over any coefficient ring R, correspond bijectively t...
AbstractLet F be a division ring and AϵGLn(F). We determine the smallest integer k such that A admit...
summary:We investigate the formal matrix ring over $R$ defined by a certain system of factors. We gi...
SIGLETIB Hannover: RO 8278(90-020) / FIZ - Fachinformationszzentrum Karlsruhe / TIB - Technische Inf...
AbstractLet F be a field of characteristic zero, and let Mn(F) be the algebra of n × n matrices over...
We prove the following theorem. THEOREM 1. Let D be any commutative principal ideal ring without di...
We prove the following theorem: Let D be any commutative principal ideal ring without divisors of ze...
AbstractLet M(λ) be a n × m matrix whose elements are polynomials in λ over the complex numbers whic...
AbstractNecessary and sufficient conditions are given for a commutative ring R to be a ring over whi...
An element x in a ring R is called right (resp. left) invertible if there exists y ∈ R such that xy ...
Some well-known results for matrices over a principal ideal domain are generalized to matrices over ...
AbstractThis paper develops methods to describe the conjugacy classes of GL(n,R) on Rn×n for a seria...
SIGLEAvailable from British Library Document Supply Centre- DSC:D65356/86 / BLDSC - British Library ...
AbstractIt is proved that each matrix over a principal ideal ring is equivalent to some diagonal mat...