Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Pointlike reducibility of pseudovarieties of the form $\bf V*\bf D$   In this paper, we investigate the reducibility property of semidirect
products of the form $\bf V*\bf D$ relatively to (pointlike) systems of
equations of the form $x_1=\cdots=x_n$, where $\bf D$ denotes the pseudovariety
of definite semigroups. We establish a connection between pointlike
reducibility of $\bf V*\bf D$ and the pointlike reducibility of the
pseudovariety $\bf V$. In particular, for the canonical signature $\kappa$
consisting of the multiplication and the $(\omega-1)$-power, we show that $\bf
V*\bf D$ is pointlike $\kappa$-reducible when $\bf V$ is pointlike
$\kappa$-reducible.

17
The categories of this paper are: q-fin
3
The categories of this paper are: physics
14
The categories of this paper are: math-ph
34
The categories of this paper are: chem-ph
22
The categories of this paper are: chao-dyn
12
The categories of this paper are: nucl-th
31
The categories of this paper are: ao-sci
33
The categories of this paper are: plasm-ph
37
The categories of this paper are: supr-con
11
The categories of this paper are: hep-lat
16
The categories of this paper are: stat
18
The categories of this paper are: econ
20
The categories of this paper are: acc-phys
13
The categories of this paper are: quant-ph
21
The categories of this paper are: adap-org
29
The categories of this paper are: funct-an