DOIAbstract
AbstractRoth's theorem on the solvability of matrix equations of the form AX−YB=C is proved for matrices with coefficients from a division ring or a ring which is module-finite over its center
AbstractRoth's theorem on the solvability of matrix equations of the form AX−YB=C is proved for matrices with coefficients from a division ring or a ring which is module-finite over its center
We characterize the pseudo-equivalence of a block lower triangular matrix T = [Tij] over a regular r...
A method of constructing of solutions of matrix Diophantine equations $AX + BY = C$ over commutative...
A method of constructing of solutions of matrix Diophantineequations $AX+BY=C$ over commutative dom...
AbstractRoth's theorem on the solvability of matrix equations of the form AX−YB=C is proved for matr...
AbstractThis paper extends Roth's similarity theorem as follows: Let R be a ring with identity, B(λ)...
The main result of the paper is a theorem, using which a new proof of Roth's theorem is obtained, a ...
W.E. Roth (1952) proved that the matrix equation AX-XB=C has a solution if and only if the matrices ...
AbstractLet A be an n×s matrix of rank r, B be an n×t matrix of rank ρ⩽r, and X be an s×t matrix. Th...
AbstractA necessary and sufficient condition is established for solvability of the matrix equation A...
AbstractWe give a necessary and sufficient condition for the consistency of the matrix equation X − ...
We show a reduction of Hilbert's tenth problem to the solvability of the matrix equation over non-co...
The pseudo-equivalence of a block lower triangular matrix T = [T_{ij}] over a regular ring and its ...
For a given commutative ring with an identity element, we define and study the substitution of a mat...
AbstractThe matrix equation ∑∑fikAiXBk = C is discussed, based on the algebraic approach of Djaferis...
AbstractMatrix equivalence over principal ideal domains is considered, using the technique of locali...
We characterize the pseudo-equivalence of a block lower triangular matrix T = [Tij] over a regular r...
A method of constructing of solutions of matrix Diophantine equations $AX + BY = C$ over commutative...
A method of constructing of solutions of matrix Diophantineequations $AX+BY=C$ over commutative dom...
AbstractRoth's theorem on the solvability of matrix equations of the form AX−YB=C is proved for matr...
AbstractThis paper extends Roth's similarity theorem as follows: Let R be a ring with identity, B(λ)...
The main result of the paper is a theorem, using which a new proof of Roth's theorem is obtained, a ...
W.E. Roth (1952) proved that the matrix equation AX-XB=C has a solution if and only if the matrices ...
AbstractLet A be an n×s matrix of rank r, B be an n×t matrix of rank ρ⩽r, and X be an s×t matrix. Th...
AbstractA necessary and sufficient condition is established for solvability of the matrix equation A...
AbstractWe give a necessary and sufficient condition for the consistency of the matrix equation X − ...
We show a reduction of Hilbert's tenth problem to the solvability of the matrix equation over non-co...
The pseudo-equivalence of a block lower triangular matrix T = [T_{ij}] over a regular ring and its ...
For a given commutative ring with an identity element, we define and study the substitution of a mat...
AbstractThe matrix equation ∑∑fikAiXBk = C is discussed, based on the algebraic approach of Djaferis...
AbstractMatrix equivalence over principal ideal domains is considered, using the technique of locali...
We characterize the pseudo-equivalence of a block lower triangular matrix T = [Tij] over a regular r...
A method of constructing of solutions of matrix Diophantine equations $AX + BY = C$ over commutative...
A method of constructing of solutions of matrix Diophantineequations $AX+BY=C$ over commutative dom...
Add to ORKG