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A note on section and slice for a hereditary algebra

Fang Li, Yichao Yang


The aim of this paper is to show that for a hereditary finite-dimensional algebra A and its basic module M, the decomposition of M forms a section in the Auslander-Reiten quiver of A if and only if add M is a slice in the module category mod A.


section, slice, separating tilting module, Auslander-Reiten quiver.

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