首页|The stable Auslander-Reiten components of certain monomorphism categories
The stable Auslander-Reiten components of certain monomorphism categories
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维普
Let Λ be an Artin algebra and let Gprj-Λ denote the class of all the finitely generated Gorenstein projective Λ-modules.In this paper,we study the components of the stable Auslander-Reiten quiver of a certain subcategory of the monomorphism category S(Gprj-Λ)containing boundary vertices.We describe the shape of such components.It is shown that certain components are linked to the orbits of an auto-equivalence on the stable category Gprj-Λ.In particular,for the finite components,we show that under certain mild conditions,their cardinalities are divisible by 3.We see that this three-periodicity phenomenon reoccurs several times in the paper.
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维普
