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The stable Auslander-Reiten components of certain monomorphism categories
Let A 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...
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The Simple Connectedness of Tame Algebras with Separating Almost Cyclic Coherent Auslander–Reiten Components
We study the simple connectedness of the class of finite-dimensional algebras over an algebraically closed field for which the Auslander–Reiten...
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The strong simple connectedness of tame algebras with separating almost cyclic coherent Auslander–Reiten components
We study the strong simple connectedness of finite-dimensional tame algebras over an algebraically closed field, for which the Auslander–Reiten...
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Relative tilting theory in abelian categories I: Auslander–Buchweitz–Reiten approximations theory in subcategories and cotorsion-like pairs
In this paper, we introduce a special kind of relative (co)resolutions associated with a pair of classes of objects in an abelian category
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Auslander-Reiten Conjecture in a Dual Vein
We consider a dual notion of the famous Auslander-Reiten Conjecture in case of Noetherian algebras over commutative Noetherian rings. Firstly, in the...
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Continuous Quivers of Type A (IV)
This if the final paper in the series Continuous Quivers of Type A . In this part, we generalize existing geometric models of type A cluster...
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On Maximal Green Sequence for Quivers Arising from Weighted Projective Lines
We investigate the existence and non-existence of maximal green sequences for quivers arising from weighted projective lines. Let Q be the Gabriel...
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Continuous quivers of type A (I) foundations
We generalize quivers of type A to continuous quivers of type A and prove initial results about pointwise finite-dimensional representations. Among...
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The Auslander–Reiten quiver of an algebra
Let A be a finite dimensional k-algebra. As seen in Corollary II.3.13 , every indecomposable A-module is the source, and the target, of an almost...
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Shapes of Auslander-Reiten Triangles
Giraldo and Merklen classified the irreducible morphisms in the bounded derived categories of finite dimensional algebras in three classes. The...
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Tubes containing string modules in symmetric special multiserial algebras
Symmetric special multiserial algebras are algebras that correspond to decorated hypergraphs with orientation, called Brauer configurations. In this...
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Dessins D’Enfants, Brauer Graph Algebras and Galois Invariants
In this paper, we associate a finite dimensional algebra, called a Brauer graph algebra, to every clean dessin d’enfant by constructing a quiver...
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McKay Quivers and Lusztig Algebras of Some Finite Groups
We are interested in the McKay quiver Γ( G ) and skew group rings A ∗ G , where G is a finite subgroup of GL( V ), where V is a finite dimensional vector...
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Rejection Lemma and Almost Split Sequences
We study the behavior of almost split sequences and Auslander–Reiten quivers of the orders under rejection of bijective modules as defined in [Yu. A....
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Serre Functors and Graded Categories
We study Serre structures on categories enriched in pivotal monoidal categories, and apply this to study Serre structures on two types of graded k -lin...
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A geometric model for the module category of a skew-gentle algebra
In this article, we realize skew-gentle algebras as skew-tiling algebras associated to admissible partial triangulations of punctured marked...
