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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