Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Generalized derivations with central values on lie ideals LIE IDEALS   Let R be a prime ring of H a generalized derivation and L a noncentral lie
ideal of R. We show that if l^sH(l)l^t in Z(R) for all lin2 L, where s, t> 0
are fixed integers, then H(x) = bx for some b in C, the extended centroid of R,
or R satisfies S4. Moreover, let R be a 2-torsion free semiprime ring, let A =
O(R) be an orthogonal completion of R and B = B(C) the Boolean ring of C.
Suppose ([x1; x2]sH([x1; x2])[x1; x2]t in Z(R) for all x1; x2 in R, where s, t>
0 are fixed integers. Then there exists idempotent e in B such that H(x) = bx
on eA and the ring (1-e)A satisfies S4.

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The categories of this paper are: nucl-ex
11
The categories of this paper are: hep-lat
23
The categories of this paper are: solv-int
32
The categories of this paper are: atom-ph
8
The categories of this paper are: hep-ex
20
The categories of this paper are: acc-phys
26
The categories of this paper are: bayes-an
37
The categories of this paper are: supr-con
1
The categories of this paper are: cs
0
The categories of this paper are: hep-ph
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The categories of this paper are: stat
36
The categories of this paper are: cmp-lg
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The categories of this paper are: astro-ph
28
The categories of this paper are: alg-geom
22
The categories of this paper are: chao-dyn
25
The categories of this paper are: patt-sol