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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