Add to ORKGWe study the rings over which each square matrix is the sum of an idempotent matrix and a q-potent matrix. We also show that if F is a finite field not isomorphic to F3 and q > 1 is odd then each square matrix over F is the sum of an idempotent matrix and a q-potent matrix if and only if q-1 is divisible by |F| - 1
We find bounds for the number of idempotents in a ring of matrices over an arbitrary finite commutat...
AbstractThis paper deals with idempotent matrices (i.e., A2=A) and t-potent matrices (i.e., Bt=B). W...
© 2017, Pleiades Publishing, Ltd.The rings over which every square matrix is representable as a sum ...
AbstractWe study which square matrices are sums of idempotents over a field of positive characterist...
AbstractWe say that a ring R has the idempotent matrices property if every square singular matrix ov...
197-208Under study are the rings whose every element is a sum of a nilpotent and a q-potent that com...
We show that any complex square matrix T is a sum of finitely many idempotent matrices if and only i...
© 2019, Pleiades Publishing, Ltd. Under study are the rings whose every element is a sum of a nilpot...
We study rings over which every matrix is the sum of two tripotents. In particular, we show that eve...
© 2019, Pleiades Publishing, Ltd. Under study are the rings whose every element is a sum of a nilpot...
International audienceLet p and q be polynomials with degree 2 over an arbitrary field F. A square m...
© 2017, Pleiades Publishing, Ltd.The rings over which every square matrix is representable as a sum ...
AbstractA ring is called uniquely clean if every element is uniquely the sum of an idempotent and a ...
AbstractWe show that a square matrix A over any field is a product of simultaneously triangulable id...
© 2017, Pleiades Publishing, Ltd.The rings over which every square matrix is representable as a sum ...
We find bounds for the number of idempotents in a ring of matrices over an arbitrary finite commutat...
AbstractThis paper deals with idempotent matrices (i.e., A2=A) and t-potent matrices (i.e., Bt=B). W...
© 2017, Pleiades Publishing, Ltd.The rings over which every square matrix is representable as a sum ...
AbstractWe study which square matrices are sums of idempotents over a field of positive characterist...
AbstractWe say that a ring R has the idempotent matrices property if every square singular matrix ov...
197-208Under study are the rings whose every element is a sum of a nilpotent and a q-potent that com...
We show that any complex square matrix T is a sum of finitely many idempotent matrices if and only i...
© 2019, Pleiades Publishing, Ltd. Under study are the rings whose every element is a sum of a nilpot...
We study rings over which every matrix is the sum of two tripotents. In particular, we show that eve...
© 2019, Pleiades Publishing, Ltd. Under study are the rings whose every element is a sum of a nilpot...
International audienceLet p and q be polynomials with degree 2 over an arbitrary field F. A square m...
© 2017, Pleiades Publishing, Ltd.The rings over which every square matrix is representable as a sum ...
AbstractA ring is called uniquely clean if every element is uniquely the sum of an idempotent and a ...
AbstractWe show that a square matrix A over any field is a product of simultaneously triangulable id...
© 2017, Pleiades Publishing, Ltd.The rings over which every square matrix is representable as a sum ...
We find bounds for the number of idempotents in a ring of matrices over an arbitrary finite commutat...
AbstractThis paper deals with idempotent matrices (i.e., A2=A) and t-potent matrices (i.e., Bt=B). W...
© 2017, Pleiades Publishing, Ltd.The rings over which every square matrix is representable as a sum ...