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There is a notion of base change for semiorthogonal decompositions, applying which you can induce semiorthogonal decompositions over rings from those over fields, see Kuznetsov, Alexander. Base change for semiorthogonal decompositions. Compos. Math. 147 (2011), no. 3, 852--876. You can also find nontrivial examples of semiorthofonal decompositions for ...


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