How to categorify the ring of integers localized at two

How to categorify the ring of integers localized at two cover
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Abstract

We construct a triangulated monoidal Karoubi closed category with the Grothendieck ring naturally isomorphic to the ring of integers localized at two.

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Mikhail Khovanov, Yin Tian, How to categorify the ring of integers localized at two. Quantum Topol. 10 (2019), no. 4, pp. 723–775

DOI 10.4171/QT/130