Universal support for triangulated categories by Balmer, Paul, Sanchez Ocal, Pablo

“…We revisit a result of Gratz and Stevenson on the universal space that carries supports for objects of a triangulated category, in the absence of a tensor product.…”
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Noncommutative tensor triangulated categories and coherent frames by Mallick, Vivek Mohan, Ray, Samarpita

“…We develop a point-free approach for constructing the Nakano–Vashaw–Yakimov–Balmer spectrum of a noncommutative tensor triangulated category under certain assumptions. In particular, we provide a conceptual way of classifying radical thick tensor ideals of a noncommutative tensor triangulated category using frame theoretic methods, recovering the universal support data in the process. …”
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Calabi–Yau structures on Drinfeld quotients and Amiot’s conjecture by Keller, Bernhard, Liu, Junyang

“…We use this construction as an important step in an outline of the proof of her conjecture on the structure of $2$-Calabi–Yau triangulated categories with a cluster-tilting object.…”
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