Category equivalences involving graded modules over path algebras of quivers.

DOI10.1016/J.AIM.2012.03.031zbMath1264.16042arXiv1107.3511OpenAlexW2132506225MaRDI QIDQ436125

S. Paul. Smith

Publication date: 30 July 2012

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1107.3511

zbMATH Keywords

quiverspath algebrasgraded modulescategory equivalencesLeavitt path algebras

Mathematics Subject Classification ID

Module categories in associative algebras (16D90) Representations of quivers and partially ordered sets (16G20) Graded rings and modules (associative rings and algebras) (16W50)

Related Items (26)

Singular equivalence of finite dimensional algebras with radical square zero ⋮ On the Hochschild homology of singularity categories ⋮ Singular equivalences induced by homological epimorphisms ⋮ Towards a K-theoretic characterization of graded isomorphisms between Leavitt path algebras ⋮ The injective Leavitt complex ⋮ Kumjian-Pask algebras of locally convex higher-rank graphs. ⋮ Strongly graded groupoids and strongly graded Steinberg algebras ⋮ Category equivalences involving graded modules over weighted path algebras and weighted monomial algebras ⋮ Finitely presented simple modules over Leavitt path algebras. ⋮ Anick type automorphisms and new irreducible representations of Leavitt path algebras ⋮ The dg Leavitt algebra, singular Yoneda category and singularity category ⋮ Simple modules for Kumjian-Pask algebras ⋮ An equivalence of categories for graded modules over monomial algebras and path algebras of quivers. ⋮ The dynamics of Leavitt path algebras. ⋮ Structural theorem for gr-injective modules over gr-noetherian G-graded commutative rings and local cohomology functors ⋮ On simple modules over Leavitt path algebras. ⋮ The Injective and Projective Leavitt Complexes ⋮ Corrigendum to ``An equivalence of categories for graded modules over monomial algebras and path algebras of quivers. ⋮ ``Degenerate 3-dimensional Sklyanin algebras are monomial algebras. ⋮ KMS states on the -algebras of reducible graphs ⋮ Singular Equivalences of Trivial Extensions ⋮ Tate-Hochschild cohomology of radical square zero algebras ⋮ The Projective Leavitt Complex ⋮ An abstract characterization of noncommutative projective lines ⋮ Irreducible representations of Leavitt algebras ⋮ Leavitt path algebras: the first decade

Cites Work

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• The graded structure of Leavitt path algebras.
• The singularity category of an algebra with radical square zero
• Irreducible representations of Leavitt path algebras.
• Group-graded rings and modules
• Perpendicular categories with applications to representations and sheaves
• On the classification of inductive limits of sequences of semisimple finite-dimensional algebras
• Quantum spheres and projective spaces as graph algebras
• Fractional skew monoid rings.
• Module theory over Leavitt path algebras and \(K\)-theory.
• The spectrum of a module category
• Quotients of representation-finite algebras
• Every AF-algebra is Morita equivalent to a graph algebra
• An Introduction to Symbolic Dynamics and Coding
• Viewing AF-algebras as graph algebras
• Isomorphism and Morita equivalence of graph algebras
• Leavitt path algebras and direct limits
• Des catégories abéliennes
• Inductive Limits of Finite Dimensional C ∗ -Algebras

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