Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Jordan derivations on semirings of triangular matrices   We explore Jordan derivations of triangular matrices with entries from an
additively idempotent semiring. The main result states that for any matrix A
over additively idempotent semiring, if we put all the elements of the family
of dense submatrices of A to be zeroes, we find a derivative of A. The set of
derivations of this type is established.

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The categories of this paper are: atom-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: acc-phys
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The categories of this paper are: eess
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The categories of this paper are: math-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: solv-int
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The categories of this paper are: adap-org
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The categories of this paper are: hep-lat
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The categories of this paper are: physics
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The categories of this paper are: quant-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: hep-ex
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The categories of this paper are: q-fin
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The categories of this paper are: q-bio
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The categories of this paper are: nlin