Geodesic
Differential graded categories associated with the critical semi-definite quadratic forms
Algebra and discrete mathematics, Tome 16 (2013) no. 2, pp. 188-200

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This work concerns with classification problem of differential graded categories with critical semi-definite quadratic form. We prove that such problem which satisfies some correctness conditions can be transformed to differential graded category with directed graded graph, which is a quiver of affine (extended) type.
Keywords: differential graded category, graded graph, critical quadratic form, affine diagram. 
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     author = {O. Gnatiuk and N. Golovashchuk},
     title = {Differential graded categories associated with the critical semi-definite quadratic forms},
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O. Gnatiuk; N. Golovashchuk. Differential graded categories associated with the critical semi-definite quadratic forms. Algebra and discrete mathematics, Tome 16 (2013) no. 2, pp. 188-200. http://geodesic.mathdoc.fr/item/ADM_2013_16_2_a3/