Geodesic
Nonstandard additively finite triangulated categories of Calab--Yau dimension one in characteristic~3
Algebra and discrete mathematics, no. 3 (2007), pp. 27-37

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We prove that there exist nonstandard $K$-linear triangulated categories with finitely many indecomposable objects and Calab–Yau dimension one over an arbitrary algebraically closed field $K$ of characteristic 3, using deformed preprojective algebras of generalized Dynkin type.
Keywords: triangulated category, Calabi–Yau category, preprojective algebra. 
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     author = {Jerzy Bia{\l}kowski and Andrzej Skowronski},
     title = {Nonstandard additively finite triangulated categories of {Calab--Yau} dimension one in characteristic~3},
     journal = {Algebra and discrete mathematics},
     pages = {27--37},
     publisher = {mathdoc},
     number = {3},
     year = {2007},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ADM_2007_3_a4/}
}
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Jerzy Białkowski; Andrzej Skowronski. Nonstandard additively finite triangulated categories of Calab--Yau dimension one in characteristic~3. Algebra and discrete mathematics, no. 3 (2007), pp. 27-37. http://geodesic.mathdoc.fr/item/ADM_2007_3_a4/