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\begin{center} {\bf Report on ``Transposed Poisson structures on quasi-filiform Lie algebras of
maximum length"}\end{center}

\begin{center} By  Jobir Adashev, Azamat Saydaliyev and Feruza Toshtemirova \end{center}


Transposed Poisson algebras are a kind of new algebraic structures
by exchanging the roles of the Lie and commutative associative
structures in Poisson algebras. They attracted more and more
attentions. As an important topic in the study of transposed
Poisson algebras, it is always important and interesting to find
more examples and then give their classification. In particular,
to find and classify transposed Poisson algebraic structures on
some known Lie algebras become an effective method and there have
been plentiful results.

In this paper, the authors studied transposed Poisson algebraic
structures on a class of Lie algebras, namely, quasi-filiform Lie
algebras of maximum length in dimension $n\geq 7$. Such results
are of course meaningful for the study of transposed Poisson
algebras themselves and hence make certain contributions to this
subject. However, the whole study in this paper looks quite
``standard", that is, it seems that there is not any ``essential
difference" from the other ``similar" studies on the transposed
Poisson algebraic structures on other (a lot of!) Lie algebras. So
as the first suggestion, I expect that the authors should explain
well why transposed Poisson algebraic structures on quasi-filiform
Lie algebras of maximum length are important. It would be much
better if there are some further interpretations of these
transposed Poisson algebras, such as some properties.

Moreover, I have to say that the presentation of this paper is
quite poor.

\begin{enumerate}

\item The expression of most of results in Introduction is
confused and unclear. Even some are misled. I strongly suggest
that the authors should express the results in a clear and
complete way. For example, ``Twisted Heisenberg-Virasoro,
Schr\"odinger-Virasoro and extended Schr\"odinger-Virasoro
algebras were studied in [32]." What does it mean? It seems quite
confused that ``all transposed Poisson algebras that demonstrate
quasi-filiform Lie algebras of maximum length." Hence I also
suggest that the authors should rewrite Introduction.

\item There are many careless typos and English errors. Some typos
are unacceptable such as the authors in Ref. [31].


\end{enumerate}

So I think that the paper should be for a further consideration
after the authors make an essential revision.







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