Kalinowski, Jozef On rank equivalence and rank preserving operators. (English) Zbl 1274.15001 Novi Sad J. Math. 32, No. 1, 133-139 (2002). Summary, modified: A. Marková, in 1995, proved a theorem on rank equivalence operators. This theorem is true, but the proof is wrong. In this paper, a new, correct proof of A. Marková’s theorem is presented. The form of generators preserving rank is determined. Also, an interesting example of generator is showed. Cited in 1 Document MSC: 15A03 Vector spaces, linear dependence, rank, lineability 15A86 Linear preserver problems Keywords:g-calculus; pseudo-arithmetical operations; rank preserving operators; rank equivalence operators PDFBibTeX XMLCite \textit{J. Kalinowski}, Novi Sad J. Math. 32, No. 1, 133--139 (2002; Zbl 1274.15001)