Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Dual Third-order Jacobsthal Quaternions   In 2016, Y\"uce and Torunbalc\i\ Ayd\i n \cite{Yuc-Tor} defined dual
Fibonacci quaternions. In this paper, we defined the dual third-order
Jacobsthal quaternions and dual third-order Jacobsthal-Lucas quaternions. Also,
we investigated the relations between the dual third-order Jacobsthal
quaternions and third-order Jacobsthal numbers. Furthermore, we gave some their
quadratic properties, the summations, the Binet's formulas and Cassini-like
identities for these quaternions.

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The categories of this paper are: bayes-an
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The categories of this paper are: q-fin
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The categories of this paper are: econ
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The categories of this paper are: atom-ph
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The categories of this paper are: q-alg
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The categories of this paper are: acc-phys
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The categories of this paper are: astro-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: eess
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The categories of this paper are: supr-con
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The categories of this paper are: nlin
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The categories of this paper are: funct-an
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The categories of this paper are: q-bio
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The categories of this paper are: plasm-ph
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The categories of this paper are: math-ph
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The categories of this paper are: dg-ga