Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Some Connections Between The Arithmetic and The Geometry of Lipschitz
  Integers   Some relationships between the arithmetic and the geometry of Lipschitz and
Hurwitz integers are here presented. In particular, it is shown that the vector
product of two left multiples of a Lipschitz integer $\alpha$ with any other
Lipschitz integer is still a left multiple of $\alpha$, and that the vector
product of a Lipschitz integer $\alpha$ with two other such integers orthogonal
to it is both a left and a right multiple of $\alpha$.

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The categories of this paper are: plasm-ph
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The categories of this paper are: cs
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The categories of this paper are: adap-org
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The categories of this paper are: chao-dyn
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The categories of this paper are: hep-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: stat
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The categories of this paper are: patt-sol
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The categories of this paper are: nucl-ex
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The categories of this paper are: cmp-lg
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The categories of this paper are: hep-lat
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The categories of this paper are: eess
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The categories of this paper are: funct-an
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The categories of this paper are: solv-int
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The categories of this paper are: astro-ph
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The categories of this paper are: cond-mat