ON NON-SEMIREGULAR COMPONENTS CONTAINING PATHS FROM INJECTIVE TO PROJECTIVE MODULES

DOI10.1081/AGB-120014671zbMath1057.16011MaRDI QIDQ4799325

Flávio Ulhoa Coelho, Marcelo Américo Lanzilotta

Publication date: 10 April 2003

Published in: Communications in Algebra (Search for Journal in Brave)

zbMATH Keywords

orbitsprojective modulesAuslander-Reiten quiversArtin algebrascomponentsinjective modulesquasitilted algebrasshod algebrasoriented cyclespaths of irreducible maps

Mathematics Subject Classification ID

Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers (16G70) Representations of quivers and partially ordered sets (16G20) Representations of associative Artinian rings (16G10) Homological dimension in associative algebras (16E10)

Related Items (14)

The Simple Connectedness of a Tame Weakly Shod Algebra ⋮ On generalized standard Auslander-Reiten components having only finitely many non-directing modules. ⋮ Embeddings of non-semiregular translation quivers in quivers of type \(\mathbb{Z}\Delta\). ⋮ The left and the right parts of a module category. ⋮ ENDOMORPHISM ALGEBRAS OF PROJECTIVE MODULES OVER LAURA ALGEBRAS ⋮ On tilting modules over cluster-tilted algebras. ⋮ A characterization of cycle-finite generalized double tilted algebras. ⋮ Weakly shod algebras. ⋮ Two-sided gluings of tilted algebras. ⋮ Almost laura algebras. ⋮ On Shod Extensions of Algebras ⋮ On the derived categories and quasitilted algebras. ⋮ Organising the module category ⋮ Tilting up algebras of small homological dimensions

Cites Work

• Algebras with small homological dimensions
• ALMOST REGULAR AUSLANDER–REITEN COMPONENTS AND QUASITILTED ALGEBRAS
• Degrees of Irreducible Maps and the Shapes of Auslander-Reiten Quivers
• Nonexistent cycles
• Representation theory of artin algebras v: methods for computing aimost split sequences and irreducible morphisms
• Regular Auslander-Reiten Components Containing Directing Modules
• Semi-Stable Components of an Auslander-Reiten Quiver
• Minimal representation-infinite artin algebras
• The embedding of the components of the auslander-reiten quiver of an artin algebra containing no oriented cycle¹

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