The Drazin inverses of infinite triangular matrices and their linear preservers

  • R. Słowik


We consider the ring of all infinite $(N \times N)$ upper triangular matrices over a field $F$. We give a description of elements that are Drazin invertible in this ring. In the case where $F$ is such that $\mathrm{c}\mathrm{h}\mathrm{a}\mathrm{r}(F) \not = 2$ and $| F| > 4$, we find the form of linear preservers for the Drazin inverses.
How to Cite
Słowik, R. “The Drazin Inverses of Infinite Triangular Matrices and Their Linear Preservers”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 70, no. 4, Apr. 2018, pp. 534-48,
Research articles