# ON ROTH'S PSEUDO EQUIVALENCE OVER RINGS ∗

@article{Hartwig2007ONRP, title={ON ROTH'S PSEUDO EQUIVALENCE OVER RINGS ∗}, author={Robert E. Hartwig and Pedro Patr{\'i}cio}, journal={Electronic Journal of Linear Algebra}, year={2007}, volume={16}, pages={111-124} }

The pseudo-equivalence of a block lower triangular matrix T =( Tij )o ver ar egular ring and its block diagonal matrix D(T )=( Tii) is characterized in terms of suitable Roth consistency conditions. The latter can in turn be expressed in terms of the solvability of certain matrix equations of the form TiiXYT jj = Uij.

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