Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Minimal polynomial identities for right-symmetric algebras   An algebra $A$ with multiplication $A\times A \to A, (a,b)\mapsto a\circ b$,
is called right-symmetric, if $a\circ(b\circ c)-(a\circ b)\circ a\circ (c\circ
b)-(a\circ c)\circ b,$ for any $a,b,c\in A$. The multiplication of
right-symmetric Witt algebras $W_n=\{u\der_i: u\in U, U={\cal K}[x_1^{\pm
1},...,x_n^{\pm}$ or $={\cal K}[x_1,...,x_n], i=1,...,n\}, p=0,$ or $W_n({\bf
m)}=\{u\der_i: u\in U, U=O_n({\bf m})\}$, are given by $u\der_i\circ
v\der_j=v\der_j(u)\der_i.$ An analogue of the Amitsur-Levitzki theorem for
right-symmetric Witt algebras is established. Right-symmetric Witt algebras of
$ satisfy the standard right-symmetric identity of degree $2n+1:$
$\sum_{\sigma\in Sym_{2n}}sign(\sigma)a_{\sigma(1)}\circ(a_{\sigma(2)}\circ
>...(a_{\sigma(2n)}\circ a_{2n+1})...)=0.$ The minimal deg$ left polynomial
identities of $W_n^{rsym}, W_n^{+rsym}, p=0,$ i$ The minimal degree of
multilinear left polynomial identity of $$ is also $2n+1.$ All left polynomial
(also multilinear, if $p>0$) identities of right-symmetric Witt algebras of
minimal $ combinations of left polynomials obtained from standard ones by
permutations of arguments.

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The categories of this paper are: quant-ph
10
The categories of this paper are: q-bio
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The categories of this paper are: nucl-th
35
The categories of this paper are: mtrl-th
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The categories of this paper are: chem-ph
32
The categories of this paper are: atom-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: q-alg
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The categories of this paper are: funct-an
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The categories of this paper are: chao-dyn
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The categories of this paper are: adap-org
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The categories of this paper are: physics
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The categories of this paper are: hep-th
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The categories of this paper are: plasm-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: ao-sci