(FUNDAMENTAL AND APPLIED MATHEMATICS)

2003, VOLUME 9, NUMBER 3, PAGES 3-11

## Invertibility of linear $f$-order preservers

A. A. Alieva

Abstract

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In this paper, we prove that monotonic linear transformations with respect to partial orders $\stackrel \left\{*\right\}\left\{<\right\}_f$, $\left\{*\right\}\left\{<\right\}_f$, $\left\{<\right\}\left\{*\right\}_f$, $\stackrel \left\{\diamond\right\}\left\{<\right\}_f$, $\stackrel \left\{\sigma\right\}\left\{<\right\}_f$ and $\stackrel \left\{\sigma_1\right\}\left\{<\right\}_f$ are invertible.

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