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arXiv · 1602.06795

Differential modules over quadratic monomial algebras

Torkil Stai
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Abstract

We compare the so-called clock condition to the gradability of certain differential modules over quadratic monomial algebras. For a stably hereditary algebra or a gentle one-cycle algebra, these considerations show that the orbit category of its bounded derived category with respect to a positive power of the shift functor is triangulated if and only if the algebra is piecewise hereditary.

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Torkil Stai. 2016-02-22. Differential modules over quadratic monomial algebras. https://arxiv.org/abs/1602.06795

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