We classify the maximal rigid objects of the Σ 2 τ-orbit category C(Q) of the bounded derived
category for the path algebra associated to a Dynkin quiver Q of type A, where τ denotes the …

Tilting theory is a central topic in the representation theory of artin algebras, with origins in
work of Bernstein {Gelfand {Ponomarev from the early seventies. There has been extensive …

We treat the τ-tilting finiteness of minimal representation-infinite algebras and particularly the
non-distributive ones. Building upon the new results of Bongartz, we fully determine which …

COLLOQUIUM MATHEMATICUM Page 1 COLLOQUIUM MATHEMATICUM VOL. 82 1999 NO.
2 DIRECTING COMPONENTS FOR QUASITILTED ALGEBRAS BY FLÁVIO ULHOA COELHO …

Full article: A New Characterization of Hereditary Algebras Skip to Main Content Taylor and
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The only connected finite-dimensional algebras with finitely many isomorphism classes of
indecomposable bimodules are the quotients of the path algebras of uniformly oriented A n …

Let k Q be the path algebra of a tree-type quiver Q, and λ be a nonzero element in a field k.
We construct irreducible morphisms in the Auslander–Reiten quiver of the transjective …

1. Introduction. This paper deals with the finite-dimensional algebras Σ over an algebraically
closed field k whose derived category Db (mod (Σ)) of the category mod (Σ) of finite …

Let $\mathcal {A} $ be a small dg category over a field $ k $ and let $\mathcal {U} $ be a
small full subcategory of the derived category $\mathcal {D}\mathcal {A} $ which generates …

Let A be a basic connected finite-dimensional algebra over an algebraically closed field. We
show that if A has all its indecomposable projectives (or injectives) lying in a component of …