Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Commutative Rings with Two-Absorbing Factorization   We use the concept of 2-absorbing ideal introduced by Badawi to study those
commutative rings in which every proper ideal is a product of 2-absorbing
ideals (we call them TAF-rings). Any TAF-ring has dimension at most one and the
local TAF-domains are the atomic pseudo-valuation domains.

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The categories of this paper are: q-alg
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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: bayes-an
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The categories of this paper are: gr-qc
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The categories of this paper are: hep-ex
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The categories of this paper are: mtrl-th
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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: dg-ga
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The categories of this paper are: nucl-ex
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The categories of this paper are: funct-an
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The categories of this paper are: hep-lat
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The categories of this paper are: comp-gas
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The categories of this paper are: adap-org
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The categories of this paper are: supr-con