Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Duality and interval analysis over idempotent semirings   In this paper semirings with an idempotent addition are considered. These
algebraic structures are endowed with a partial order. This allows to consider
residuated maps to solve systems of inequalities $A \otimes X \preceq B$. The
purpose of this paper is to consider a dual product, denoted $\odot$, and the
dual residuation of matrices, in order to solve the following inequality $ A
\otimes X \preceq X \preceq B \odot X$. Sufficient conditions ensuring the
existence of a non-linear projector in the solution set are proposed. The
results are extended to semirings of intervals.

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The categories of this paper are: hep-th
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The categories of this paper are: math-ph
22
The categories of this paper are: chao-dyn
1
The categories of this paper are: cs
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The categories of this paper are: hep-ex
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The categories of this paper are: nucl-ex
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The categories of this paper are: nlin
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The categories of this paper are: quant-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: stat
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The categories of this paper are: gr-qc
18
The categories of this paper are: econ
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The categories of this paper are: ao-sci
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The categories of this paper are: funct-an
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The categories of this paper are: adap-org