Path orders of global dimension two

DOI10.1016/0021-8693(83)90021-2zbMath0518.16001OpenAlexW2038922159MaRDI QIDQ1053772

Klaus W. Roggenkamp, Alfred Wiedemann

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1016/0021-8693(83)90021-2

zbMATH Keywords

indecomposable direct summandsprojective covervalued quiverorthogonal primitive idempotentsAuslander orderAuslander- Reiten quiverorder of finite lattice typeorders of global dimension twopath order

Mathematics Subject Classification ID

Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05) Homological dimension in associative algebras (16E10) Representation theory of associative rings and algebras (16Gxx)

Related Items (13)

Minimal tiled orders of finite global dimension ⋮ Computing normalizers of tiled orders in \(M_n(k)\) ⋮ An ideal1zer with respect to a link between maximal ideals ⋮ Discrete posets, cell complexes, and the global dimension of tiled orders ⋮ Admissible quivers. ⋮ On rigid quivers. ⋮ Quivers for algebras over commutative noetherian complete local rings ⋮ Tiled Orders of Finite Global Dimension ⋮ A Tiled Order of Finite Global Dimension with No Neat Primitive Idempotent ⋮ Global dimensions of a class of tiled orders ⋮ Neat idempotents and tiled orders having large global dimension ⋮ Finitistic dimensions of finite dimensional monomial algebras ⋮ Automorphisms of tiled orders

Cites Work

• Indecomposable representations of orders of global dimension two
• Some examples of orders of global dimension two
• Orders of global dimension two
• A characterization of orders of finite lattice type
• Orders with loops in their auslander-reiten graph
• Global Dimension of Tiled Orders Over a Discrete Valuation Ring
• SEMIMAXIMAL RINGS OF FINITE TYPE

This page was built for publication: Path orders of global dimension two