Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Generalized Jordan derivations of Incidence Algebras   For a given ring $\mathfrak{R}$ and a locally finite pre-ordered set $(X,
\leq)$, consider $I(X, \mathfrak{R})$ to be the incidence algebra of $X$ over
$\mathfrak{R}$. Motivated by a Xiao's result which states that every Jordan
derivation of $I(X,\mathfrak{R})$ is a derivation in the case $\mathfrak{R}$ is
$2$-torsion free, one proves that each generalized Jordan derivation of
$I(X,\mathfrak{R})$ is a generalized derivation provided $\mathfrak{R}$ is
$2$-torsion free, getting as a consequence the above mentioned result.

30
The categories of this paper are: q-alg
11
The categories of this paper are: hep-lat
22
The categories of this paper are: chao-dyn
6
The categories of this paper are: astro-ph
14
The categories of this paper are: math-ph
8
The categories of this paper are: hep-ex
20
The categories of this paper are: acc-phys
31
The categories of this paper are: ao-sci
27
The categories of this paper are: comp-gas
4
The categories of this paper are: cond-mat
36
The categories of this paper are: cmp-lg
25
The categories of this paper are: patt-sol
21
The categories of this paper are: adap-org
12
The categories of this paper are: nucl-th
35
The categories of this paper are: mtrl-th
26
The categories of this paper are: bayes-an